{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "FractionalFlow"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: replacing module FractionalFlow\n"
     ]
    }
   ],
   "source": [
    "# load the package\n",
    "include(\"../FractionalFlow/FractionalFlow.jl\")\n",
    "using PyPlot, SetPyPlot, NLopt, Dierckx, CoolProp\n",
    "import Calculus, JLD\n",
    "import GR\n",
    "FF = FractionalFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Experimental data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9.208618977598095e-7"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "L_core = 0.104\n",
    "D_core = 0.025\n",
    "poros  = 0.256\n",
    "A_core  = π*D_core^2/4\n",
    "V_core = A_core*L_core\n",
    "PV_core = L_core*A_core*poros\n",
    "\n",
    "swi     = 0.334 # 0.334\n",
    "soi     = 1-swi\n",
    "T_c     = 55.6\n",
    "mu_oil = 1.04e-3*1.15 # *1.15 for temperature effect (70 -> 55)\n",
    "T_K = T_c + 273.15\n",
    "perm_ave = 0.001e-12 # m^2 permeability\n",
    "p0 = 2000/14.7*1e5\n",
    "mu_water = PropsSI(\"viscosity\", \"T\", T_K, \"P\", p0, \"H2O\")\n",
    "pv_inj_R_exp = [0.0, 0.029, 0.152, 0.274, 1.195, 2.177, 3.527, 4.939, 6.289, 7.700, 9.051]\n",
    "R_oil_exp = [0.0, 0.043, 0.236, 0.430, 0.534, 0.564, 0.584, 0.593, 0.607, 0.610, 0.610]\n",
    "R_oil_exp_int = Spline1D(pv_inj_R_exp, R_oil_exp, k=1)\n",
    "pv_inj_dp = [0.08, 0.18, 0.24, 0.43, 0.61, 0.86, 1.43, 2.20, 3.02, 3.96, 4.90,\n",
    "5.84, 6.80, 7.73, 8.73]\n",
    "dp_exp = [0.45, 0.486813, 0.53956, 0.486813, 0.434065, 0.381318, 0.334065, 0.302197,\n",
    "0.271428, 0.261538, 0.247252, 0.23956, 0.231868, 0.224175, 0.221978]*20*1e5\n",
    "\n",
    "# estimate the injection rate\n",
    "# a, b = linreg(pv_inj_R_exp[1:4], R_oil_exp[1:4])\n",
    "# u_est = b*(1-swi)*poros*V_core/A_core\n",
    "# u_est =  dp_exp[1]/L_core*perm_ave/(mu_oil*1.5)\n",
    "# u_est = 73200/L_core*perm_ave/mu_water*0.8 # multiplie by an estimated relperm\n",
    "u_est = 9/(74*3600)*13.38e-6/A_core # estimated by comparing two figures from different papers\n",
    "# the injection velocity seems to be 1 ft/day real velocity (not Darcy)\n",
    "\n",
    "pv_inj_exp = pv_inj_dp[:] # same as the time steps for the dp\n",
    "R_oil = R_oil_exp_int(pv_inj_exp) # just to have both dp and R for the same time steps\n",
    "\n",
    "pv_inj = pv_inj_exp[end]\n",
    "# injection_rate = 0.00011/(3600*24) # \n",
    "injection_rate = u_est*A_core # 0.001/(3600*24) # m^3/day\n",
    "recovery_final = R_oil_exp[end]\n",
    "\n",
    "so_final = (1-recovery_final)*soi # final oil saturation\n",
    "\n",
    "t_sec = pv_inj_exp*PV_core/injection_rate\n",
    "\n",
    "# conversion of the input data to the right unit\n",
    "u_inj   = injection_rate/A_core # Darcy velocity\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Water-flooding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fbe5f6af0d0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the problem\n",
    "# relative permeabilities\n",
    "rel_perms = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "    swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "# FF.visualize(rel_perms)\n",
    "# define the fluids\n",
    "fluids = FF.oil_water_fluids(mu_water=mu_water, mu_oil=mu_oil)\n",
    "\n",
    "# define the fractional flow functions\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "# visualize the fractional flow\n",
    "# FF.visualize(rel_perms, fluids, label=\"lowsal\")\n",
    "# tight_layout()\n",
    "core_flood = FF.core_flooding(u_inj=u_inj, pv_inject=pv_inj, \n",
    "    p_back=p0, sw_init=swi, sw_inj=1.0, rel_perms=rel_perms)\n",
    "core_props = FF.core_properties(L=L_core, D=D_core, φ=poros, k=perm_ave)\n",
    "wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "sw_tmp = linspace(0,1,100)\n",
    "\n",
    "FF.visualize(wf_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# t_sec, pv, rec_fact, dp_core, x, sw, c, c_out_sal=\n",
    "#             FF.water_flood_numeric(core_props, fluids, rel_perms, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# figure()\n",
    "# plot(t_sec, rec_fact, \"o\", wf_res.recovery_time[:,1], wf_res.recovery_time[:,2])\n",
    "# figure()\n",
    "# plot(t_sec, dp_core, \"o\", wf_res.dp_time[:,1], wf_res.dp_time[:,2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Experimental data\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 800x500 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(PyPlot.Figure(PyObject <Figure size 800x500 with 2 Axes>), PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7fbe5f5a3090>, PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7fbe5f558c10>)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_exp_dp = t_sec[:]\n",
    "# dp_exp \n",
    "t_exp_R = t_sec[:]\n",
    "R_exp = R_oil[:]\n",
    "plotyy(t_exp_R, R_exp, t_exp_dp, dp_exp, fig_size = [8,5], x_label=\"time [s]\", y1_label=\"R [-]\", y2_label=\"dP [Pa]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "exp_data([2312.96, 5204.17, 6938.89, 12432.2, 17636.3, 24864.4, 41344.2, 63606.5, 87314.4, 1.14492e5, 141669.0, 1.68846e5, 1.96602e5, 2.2349e5, 2.52402e5], [900000.0, 973626.0, 1.07912e6, 973626.0, 868130.0, 762636.0, 668130.0, 604394.0, 542856.0, 523076.0, 494504.0, 479120.0, 463736.0, 448350.0, 443956.0], [2312.96, 5204.17, 6938.89, 12432.2, 17636.3, 24864.4, 41344.2, 63606.5, 87314.4, 1.14492e5, 141669.0, 1.68846e5, 1.96602e5, 2.2349e5, 2.52402e5], [0.123024, 0.280525, 0.375934, 0.447616, 0.467941, 0.496172, 0.541179, 0.564341, 0.576489, 0.58676, 0.592751, 0.602344, 0.608086, 0.61, 0.61])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# struct\n",
    "struct exp_data\n",
    "    t_exp_dp\n",
    "    dp_exp\n",
    "    t_exp_R\n",
    "    R_exp\n",
    "end\n",
    "exp_data1 = exp_data(t_exp_dp, dp_exp, t_exp_R, R_exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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V9jevWF2ftyaJiIjMikGMsO98DvQGgVbNneVlK+50ewkLBjEiIjKP5557DtHR0dZuw+oYxEi+LdmnXeXbkgDgxTliRETmYdADabuA498a/2rQW/Ryzz33HCRJqvQZNGiQRa9bEwsXLsSKFSus3QYA4/syv//+e6tc284qV6UGpWKifu8qbksCd8wR42uOiIjqLmUjsDUO0F25vU3tBwyaA4QOtdhlBw0ahOXLl5tsU6lUFrtedfR6PSRJgpubW/XFNoAjYjbu0s1CnL9eAKVCQkSb5lXWcI4YEdF9StkIrB1tGsIAQHfVuD1lo8UurVKpoNFoTD4eHh7YuXMnHBwcsGvXLrl27ty58Pb2RlZWFgCgf//+mDRpEiZNmgQ3Nzd4eXlh+vTpJgt8l5SU4LXXXoO/vz9cXFwQHh6OnTt3yvtXrFgBd3d3bNy4EaGhoVCpVMjIyKh0a7J///6YPHkypk6dCg8PD/j4+ODzzz9HQUEBxowZg2bNmqFt27b46aefTP75Tpw4gb/+9a9wdXWFj48PRo0ahevXr5uc96WXXsIbb7wBT09PaDQazJw5U97fqlUrAMCwYcMgSZL8vb4wiNm4itGwrgHuUDvaV1njJQcxjogREdWaQW8cCUNVbye5tW3rmxa/TXm3/v37Y+rUqRg1ahS0Wi0OHz6M6dOn44svvoCPz+03rKxcuRJ2dnbYv38/Fi5ciI8++ghffPGFvH/SpElITEzE6tWrcezYMfztb3/DoEGDcObMGbmmsLAQc+bMwRdffIGTJ0/C29sbVVm5ciW8vLywf/9+TJ48Gf/4xz/wt7/9Db169cKhQ4cwcOBAjBo1CoWFhQCA3Nxc/PnPf0a3bt1w8OBBbN26FVlZWRgxYkSl87q4uCApKQlz587FO++8g/j4eADAgQMHAADLly/H1atX5e/1hUHMxu06e+u2ZNuqb0sCt+eIcbI+EVEdpO+tPBJmQgC6y8Y6C9i0aRNcXV1NPh988AEA4L333oOHhwfGjx+PZ599FrGxsRg61PQ2aUBAABYsWICQkBDExMRg8uTJWLBgAQAgIyMDy5cvx7p169CnTx+0adMGr732Gnr37m1yO7SsrAxLlixBr169EBISAmfnyg+GAUBYWBjeeusttGvXDtOmTYOjoyO8vLwwbtw4tGvXDjNmzMCNGzdw7NgxAMC///1vdOvWDR988AE6dOiAbt264csvv8SOHTtw+vRp+bxdunTB22+/jXbt2mH06NHo0aMHtm3bBgBo0cI4P9rd3R0ajUb+Xl84R8yG6Q0Ce24Fsb7t7x3EKm5NaovKUFpugIMd8zsRUY3lZ5m3rpYGDBiATz/91GSbp6cnAMDBwQFff/01unTpgqCgIDlg3enhhx+GJN1e6DsiIgLz58+HXq/H8ePHodfr0b59e5NjSkpK0Lz57ekuDg4O6NKlS7W93lmjVCrRvHlzdO7cWd5WMVKXnW18N/LRo0exY8cOuLq6VjrXuXPn5L7uvravr698DmtjELNhJ69okVtYhmYqO4S1dL9nnbuTPZQKCXqDwM3CUvioHeuxSyKiRs7Vp/qa2tTVkouLC9q2bXvP/Xv3GkficnJykJOTAxcXlxqfOz8/H0qlEsnJyVAqlSb77gxHTk5OJmHuXuztTafISJJksq3iHAaDQb7+kCFDMGfOnErn8vX1/cPzVpzD2hjEbNiuW/PDHm7THHbKe49yKRQSPF0ccC2vBNfyShjEiIhqI6iX8elI3VVUPU9MMu4P6lXfneHcuXN4+eWX8fnnn2PNmjWIjY3Fr7/+CoXi9m9CUlKSyTH79u1Du3btoFQq0a1bN+j1emRnZ6NPnz713T66d++O7777Dq1atYKdXd0jjb29PfT6+p2jV4H3mGxYxfphfe+xbMWdvJsZb09m5xVbtCcioiZHoTQuUQEAuHtU6Nb3QR8a6yygpKQEmZmZJp/r169Dr9fj2WefRVRUFMaMGYPly5fj2LFjmD9/vsnxGRkZeOWVV5CamopvvvkGn3zyCaZMmQIAaN++PWJiYjB69GisX78eaWlp2L9/P2bPno3Nmzdb5J/nThMnTkROTg5GjhyJAwcO4Ny5c/j5558xZsyYWgWrVq1aYdu2bcjMzMTNmzct2HFlDGI2qrC0HMnpxv/Yet9jIdc7+boZR8EytXxykoio1kKHAiNWAWpf0+1qP+N2C64jtnXrVvj6+pp8evfujffffx/p6en47LPPABhv5S1btgxvvfUWjh49Kh8/evRoFBUVoWfPnpg4cSKmTJmC8ePHy/uXL1+O0aNH49VXX0VISAiio6Nx4MABBAYGWuyfqYKfnx/27NkDvV6PgQMHonPnzpg6dSrc3d1NRvWqM3/+fMTHxyMgIADdunWzYMeVSeLOxUDI6nQ6Hdzc3KDVaqFWqy12nR2/Z2PMigPwd3fC7rgB1d67/+eG4/g6KQMv/bktXhkYYrG+iIgaouLiYqSlpSE4OBiOjvcxPcOgNz4dmZ9lnBMW1MtiI2Hm0L9/f3Tt2hUff/yxtVtpEP7ov4O6/n5zjpiNqpgf1re9V40mUFaMiF3V8tYkEVGdKZRAcP3PpaKGi7cmbdTus8b5Yb3b1my9FI2bEwAgU8cgRkREZC4cEbNBmdpinM7KhyQBf2pb9WuN7sYRMSIi23Pnq4rIMjgiZoN231rEtYu/G9ydHWp0jEaerM8gRkREZC4MYjZo961lK3rXYNmKCppba4fll5Qjr7jMIn0RETV0fL7Ntlni3z+DmI0xGIQ8ItanBstWVHBR2aGZo/FOdhbniRGRjalYNb60lO/ctWUVLxu/e6X++8E5Yjbm98w8XM8vhbODEt0DPWp1rK+bI/KK83FVW4y23s0s1CERUcNjZ2cHZ2dnXLt2Dfb29rVao4oaPyEECgsLkZ2dDXd390qvc7ofDGI2JuHWbcnwYM9av7xb4+aE01n5nLBPRDZHkiT4+voiLS0N6enp1m6HrMTd3R0ajcas52QQszHbfze+bX5AB+9aH+ur5oR9IrJdDg4OaNeuHW9P2ih7e3uzjoRVYBCzIdrCMvm1RgNCah/ENFzCgohsnEKhuL+V9YnuwpvcNuS3M9egNwi083ZFgKdzrY+//b7JInO3RkREZJOsGsQSEhIwZMgQ+Pn5QZIkfP/99/esfeGFFyBJUqX3XeXk5CAmJgZqtRru7u4YO3Ys8vPzTWqOHTuGPn36wNHREQEBAZg7d26l869btw4dOnSAo6MjOnfujC1btpjsF0JgxowZ8PX1hZOTEyIjI3HmzJla92JNO27dlvxzx9qPhgEcESMiIjI3qwaxgoIChIWFYfHixX9Yt2HDBuzbtw9+fn6V9sXExODkyZOIj4/Hpk2bkJCQYPJWeJ1Oh4EDByIoKAjJycmYN28eZs6ciWXLlsk1e/fuxciRIzF27FgcPnwY0dHRiI6OxokTJ+SauXPnYtGiRVi6dCmSkpLg4uKCqKgoFBcX17gXa9IbBHam3gpidbgtCdwOYly+goiIyExEAwFAbNiwodL2S5cuCX9/f3HixAkRFBQkFixYIO9LSUkRAMSBAwfkbT/99JOQJElcvnxZCCHEkiVLhIeHhygpKZFr4uLiREhIiPx9xIgRYvDgwSbXDQ8PFxMmTBBCCGEwGIRGoxHz5s2T9+fm5gqVSiW++eabGvdSE1qtVgAQWq22xsfUxMELN0RQ3CbR+e2toqxcX6dz5BaUiqC4TSIobpMoKi03a39ERESNWV1/vxv0HDGDwYBRo0bh9ddfR6dOnSrtT0xMhLu7O3r06CFvi4yMhEKhQFJSklzTt29fODjcfpVPVFQUUlNTcfPmTbkmMjLS5NxRUVFITEwEAKSlpSEzM9Okxs3NDeHh4XJNTXqpSklJCXQ6ncnHEiqeluwX4g07Zd3+taud7OBkb3xihE9OEhER3b8GHcTmzJkDOzs7vPTSS1Xuz8zMhLe36W02Ozs7eHp6IjMzU67x8fExqan4Xl3NnfvvPO5eNdX1UpXZs2fDzc1N/gQEBNyz9n5sO2UMYo/UYdmKCpIk8eXfREREZtRgg1hycjIWLlyIFStWQJIka7djMdOmTYNWq5U/Fy9etMh1Fj7dDXGDOqBf+5q/1qgq8su/dXxykoiI6H412CC2a9cuZGdnIzAwEHZ2drCzs0N6ejpeffVVtGrVCgCg0WiQnZ1tclx5eTlycnLklW81Gg2ysrJMaiq+V1dz5/47j7tXTXW9VEWlUkGtVpt8LCFE0wz/6N8GHi4O1Rf/gYogdiWXI2JERET3q8EGsVGjRuHYsWM4cuSI/PHz88Prr7+On3/+GQAQERGB3NxcJCcny8dt374dBoMB4eHhck1CQgLKysrkmvj4eISEhMDDw0Ou2bZtm8n14+PjERERAQAIDg6GRqMxqdHpdEhKSpJratJLU9DS3QkAcOkmR8SIiIjul1VX1s/Pz8fZs2fl72lpaThy5Ag8PT0RGBiI5s2bm9Tb29tDo9EgJCQEANCxY0cMGjQI48aNw9KlS1FWVoZJkybh6aeflpe6eOaZZzBr1iyMHTsWcXFxOHHiBBYuXIgFCxbI550yZQr69euH+fPnY/DgwVi9ejUOHjwoL3EhSRKmTp2K9957D+3atUNwcDCmT58OPz8/REdH17iXpqBiIdiLOYVW7oSIiKgJsNBTnDWyY8cOAaDSJzY2tsr6u5evEEKIGzduiJEjRwpXV1ehVqvFmDFjRF5enknN0aNHRe/evYVKpRL+/v7iww8/rHTutWvXivbt2wsHBwfRqVMnsXnzZpP9BoNBTJ8+Xfj4+AiVSiUeeeQRkZqaWuteqmOp5SvMZd+56yIobpPoM2e7tVshIiJqMOr6+y0JIYQVcyDdRafTwc3NDVqt1mLzxe7HVW0RImZvh51Cwu/vDqrzUhhERERNSV1/v/krSrXi08wRDkoFyg2CS1gQERHdJwYxqhWFQkJLT+OEfc4TIyIiuj8MYlRrgbcm7GcwiBEREd0XBjGqtQAPBjEiIiJzYBCjWuOIGBERkXkwiFGtcS0xIiIi82AQo1qrGBG7yNX1iYiI7guDGNVawK2nJnMKSpFXXFZNNREREd0LgxjVWjNHe3jeenn4xRyOihEREdUVgxjVSQAn7BMREd03BjGqk0BO2CciIrpvDGJUJwEexnliHBEjIiKqOwYxqpOKEbF0BjEiIqI6YxCjOmnl5QIAuHC9wMqdEBERNV4MYlQnbVq4AgAu3ixEcZneyt0QERE1TgxiVCderg5wc7KHEEAaR8WIiIjqhEGM6kSSJLRpYbw9ee5avpW7ISIiapwYxKjOKm5PnsvmiBgREVFdMIhRnbXxNgaxsxwRIyIiqhMGMaqz2yNiDGJERER1wSBGddb21ojY+ev5MBiElbshIiJqfBjEqM4CPJxgr5RQXGbAFS1f/k1ERFRbDGJUZ3ZKBVo1r3hykhP2iYiIaotBjO5LxTyxs5wnRkREVGsMYnRfKuaJcS0xIiKi2mMQo/vSxvvWrUmOiBEREdUagxjdF3kJC84RIyIiqjUGMbovrW8Fsev5JcgpKLVyN0RERI0LgxjdF1eVHQI9nQEAp67qrNwNERFR48IgRveto28zAAxiREREtcUgRveto68aAHDqap6VOyEiImpcGMTovt0OYhwRIyIiqg0GMbpvobeC2NnsfJTpDVbuhoiIqPFgEKP71tLDCc1UdijVG7iwKxERUS0wiNF9kyQJHThhn4iIqNYYxMgsOGGfiIio9hjEyCw4YZ+IiKj2GMTILBjEiIiIao9BjMwixKcZFBJwPb8U2XnF1m6HiIioUWAQI7NwclCilZcLACDlCkfFiIiIaoJBjMymi78bAODYJa2VOyEiImocGMTIbMIC3AEARy/mWrkTIiKixoFBjMxGDmKXciGEsHI3REREDR+DGJlNqK8adgoJ1/NLcTm3yNrtEBERNXgMYmQ2jvZKeRmLoxc5T4yIiKg6DGJkVmEBxgn7Ry9xnhgREVF1GMTIrMJaGueJHeGEfSIiomoxiJFZdb01Yf/4JS3K9QYrd0NERNSwMYiRWbVu4QpXlR2KyvQ4k51v7XaIiIgaNAYxMiulQkLnWwu7cj0xIiKiP2bVIJaQkIAhQ4Ze+YPAAAAgAElEQVTAz88PkiTh+++/l/eVlZUhLi4OnTt3houLC/z8/DB69GhcuXLF5Bw5OTmIiYmBWq2Gu7s7xo4di/x805GYY8eOoU+fPnB0dERAQADmzp1bqZd169ahQ4cOcHR0ROfOnbFlyxaT/UIIzJgxA76+vnByckJkZCTOnDlT615sQcV6Yocyblq5EyIioobNqkGsoKAAYWFhWLx4caV9hYWFOHToEKZPn45Dhw5h/fr1SE1NxdChQ03qYmJicPLkScTHx2PTpk1ISEjA+PHj5f06nQ4DBw5EUFAQkpOTMW/ePMycORPLli2Ta/bu3YuRI0di7NixOHz4MKKjoxEdHY0TJ07INXPnzsWiRYuwdOlSJCUlwcXFBVFRUSguLq5xL7bioVYeAIADFxjEiIiI/pBoIACIDRs2/GHN/v37BQCRnp4uhBAiJSVFABAHDhyQa3766SchSZK4fPmyEEKIJUuWCA8PD1FSUiLXxMXFiZCQEPn7iBEjxODBg02uFR4eLiZMmCCEEMJgMAiNRiPmzZsn78/NzRUqlUp88803Ne6lJrRarQAgtFptjY9paHILSkWrNzeJoLhNIktXZO12iIiILK6uv9+Nao6YVquFJElwdzfe+kpMTIS7uzt69Ogh10RGRkKhUCApKUmu6du3LxwcHOSaqKgopKam4ubNm3JNZGSkybWioqKQmJgIAEhLS0NmZqZJjZubG8LDw+WamvRSlZKSEuh0OpNPY+fmbI8Qn2YAgIMcFSMiIrqnRhPEiouLERcXh5EjR0KtNq7enpmZCW9vb5M6Ozs7eHp6IjMzU67x8fExqan4Xl3NnfvvPO5eNdX1UpXZs2fDzc1N/gQEBFTzJ9E49Az2BADsT8uxcidEREQNV6MIYmVlZRgxYgSEEPj000+t3Y5ZTZs2DVqtVv5cvHjR2i2ZBYMYERFR9Rp8EKsIYenp6YiPj5dHwwBAo9EgOzvbpL68vBw5OTnQaDRyTVZWlklNxffqau7cf+dx96qprpeqqFQqqNVqk09T0LOVMYidytRBW1Rm5W6IiIgapgYdxCpC2JkzZ/Drr7+iefPmJvsjIiKQm5uL5ORkedv27dthMBgQHh4u1yQkJKCs7HYYiI+PR0hICDw8POSabdu2mZw7Pj4eERERAIDg4GBoNBqTGp1Oh6SkJLmmJr3YEm+1I4KaO0MI4FA654kRERFVxapBLD8/H0eOHMGRI0cAGCfFHzlyBBkZGSgrK8OTTz6JgwcP4uuvv4Zer0dmZiYyMzNRWloKAOjYsSMGDRqEcePGYf/+/dizZw8mTZqEp59+Gn5+fgCAZ555Bg4ODhg7dixOnjyJNWvWYOHChXjllVfkPqZMmYKtW7di/vz5+P333zFz5kwcPHgQkyZNAgBIkoSpU6fivffew8aNG3H8+HGMHj0afn5+iI6OrnEvtqZiVGz/Bd6eJCIiqpJlHuKsmR07dggAlT6xsbEiLS2tyn0AxI4dO+Rz3LhxQ4wcOVK4uroKtVotxowZI/Ly8kyuc/ToUdG7d2+hUqmEv7+/+PDDDyv1snbtWtG+fXvh4OAgOnXqJDZv3myy32AwiOnTpwsfHx+hUqnEI488IlJTU01qatJLdZrC8hUV1hzIEEFxm8Swxbut3QoREZFF1fX3WxJCCKskQKqSTqeDm5sbtFpto58vdjGnEH3m7oBSIeHIjL+gmaO9tVsiIiKyiLr+fjfoOWLUuAV4OqNVc2foDQL7zvP2JBER0d0YxMiierfzAgDsPnPNyp0QERE1PAxiZFG927YAAOw6e93KnRARETU8DGJkURFtmkMhAeevFeBKbpG12yEiImpQGMTIotyc7BEWYHw36O4zHBUjIiK6E4MYWVyftsZ5Yrw9SUREZIpBjCyudzvjPLE9Z6/DYOBqKURERBUYxMjiugW6w1Vlh5yCUhy7rLV2O0RERA0GgxhZnL1Sgb7tjbcnt53KqqaaiIjIdjCIUb14pIMPAODXU9lW7oSIiKjhYBCjejGggzcUEnDqqg6XuYwFERERAAYxqieeLg7oHugBANjO25NEREQAGMSoHj3SkbcniYiI7sQgRvUmsqM3ACDx3A0UlJRbuRsiIiLrYxCjetPW2xWBns4o1RuQcJovASciImIQo3ojSRKiOhlvT245kWnlboiIiKyPQYzq1aOdfQEY1xMrLtNbuRsiIiLrYhCjetU1wB3+7k4oLNVjZyon7RMRkW1jEKN6JUkSHu2sAQBsPs7bk0REZNsYxKje8fYkERGREYMY1TveniQiIjJiEKN6d+ftyR+PXrVyN0RERNbDIEZW8XhXfwBA/KksaIvKrNwNERGRdTCIkVV08lMjxKcZSssN2HKco2JERGSbGMTIKiRJwvDuxlGx9YcuWbkbIiIi62AQo6oZ9EDaLuD4t8a/Gsz/dOPjXf0hScCBCzeRfqPA7OcnIiJq6Oys3QA1QCkbga1xgO7K7W1qP2DQHCB0qNkuo3FzRO+2Xth15jo2HL6MqZHtzXZuIiKixoAjYmQqZSOwdrRpCAMA3VXj9pSNZr3c7duTl2EwCLOem4iIqKFjEKPbDHrjSBiqCkS3tm1906y3KaM6adBMZYeMnELsPXfDbOclIiJqDBjE6Lb0vZVHwkwIQHfZWGcmzg52GHZrVOx/+9PNdl4iIqLGgEGMbsvPMm9dDY3sGQgA+OVkFrLzis16biIiooaMQYxuc/Uxb10NdfRVo1ugO8oNAt8mcykLIiKyHQxidFtQL+PTkZDuUSABan9jnZk9c2tU7Jv9GZy0T0RENoNBjG5TKI1LVACoHMZufR/0obHOzB7r4odmjna4mFOE305fM/v5iYiIGqIaBTFPT89afZo3b470dE68bpRChwIjVgFqX9Ptaj/jdjOuI3YnJwclnuoRAAD4ck+aRa5BRETU0NRoQdfc3Fx8/PHHcHNzq7ZWCIEXX3wRer35V2KnehI6FOgw2Ph0ZH6WcU5YUC+LjITdKbZXK3y5Jw27zlzH6aw8tPdpZtHrERERWVuNV9Z/+umn4e3tXaPayZMn17khaiAUSiC4T71eMsDTGQNDNdh6MhPL91zA7OGd6/X6RERE9a1GtyYNBkONQxgA5OXloXXr1nVuimzX872DARhfBH6zoNTK3RAREVkWJ+tTg/JQKw908lOjpNyAr/ZxniERETVtdX7pd0pKCjIyMlBaajpqMXSoZSZzk22QJAnj+7bGlNVHsHzvBfy9T2s4OVh2bhoREZG11DqInT9/HsOGDcPx48chSRKEMK75JEnG5Q04SZ/u1+DOvpj/y2lk5BRi9YEMjPlTsLVbIiIisoha35qcMmUKgoODkZ2dDWdnZ5w8eRIJCQno0aMHdu7caYEWydbYKRWY0M84x/DzhPMoLTdYuSMiIiLLqHUQS0xMxDvvvAMvLy8oFAooFAr07t0bs2fPxksvvWSJHskGPdG9JVo0U+GKthg/HLls7XaIiIgsotZBTK/Xo1kz4/pOXl5euHLlCgAgKCgIqamp5u2ObJajvRJ/v/UE5eIdZ1Gu56gYERE1PbUOYg888ACOHj0KAAgPD8fcuXOxZ88evPPOO1yygszq2YeD0NzFARduFGL9YY6KERFR01PrIPbWW2/BYDCOTrzzzjtIS0tDnz59sGXLFixatMjsDZLtclHZ4YV+bQAAi7ad4VwxIiJqciRR8djjfcjJyYGHh4f85CTVnU6ng5ubG7RaLdRqtbXbsbqiUj36ztuBa3kleH/YA4gJD7J2S0RERJXU9fe7ViNiFy5cwOeff47FixfjxIkT8nZPT0+GMLIIJwclXuxvHBX7ZNtZFJdxeRQiImo6ahzEduzYgU6dOmHChAmYPHkyunfvjq+++sqSvREBAEb2DISfmyMydcX4ck+atdshIiIymxoHsenTp+Mvf/kLLl++jBs3bmDcuHF44403LNkbEQDjE5SvRYUAAD7dcQ45fAclERE1ETUOYidOnMAHH3wAX19feHh4YN68ecjOzsaNGzfqfPGEhAQMGTIEfn5+kCQJ33//vcl+IQRmzJgBX19fODk5ITIyEmfOnDGpycnJQUxMDNRqNdzd3TF27Fjk5+eb1Bw7dgx9+vSBo6MjAgICMHfu3Eq9rFu3Dh06dICjoyM6d+6MLVu2WKQXqpvorv4I9VUjr6Qcn2w/U/0BREREjUCNg5hOp4OXl5f83dnZGU5OTtBqtXW+eEFBAcLCwrB48eIq98+dOxeLFi3C0qVLkZSUBBcXF0RFRaG4uFiuiYmJwcmTJxEfH49NmzYhISEB48ePN+l74MCBCAoKQnJyMubNm4eZM2di2bJlcs3evXsxcuRIjB07FocPH0Z0dDSio6NN5sGZoxeqO4VCwv892hEA8NW+dKRdL7ByR0RERGYgakiSJLFq1Srxww8/yB9nZ2exbNkyk211BUBs2LBB/m4wGIRGoxHz5s2Tt+Xm5gqVSiW++eYbIYQQKSkpAoA4cOCAXPPTTz8JSZLE5cuXhRBCLFmyRHh4eIiSkhK5Ji4uToSEhMjfR4wYIQYPHmzST3h4uJgwYYJZe6kJrVYrAAitVlvjY2xJ7JdJIihukxizfL+1WyEiIpLV9fe7Vk9NxsbGyqNF0dHRKCoqwoQJE+Tvw4YNM1tATEtLQ2ZmJiIjI+Vtbm5uCA8PR2JiIgDj65bc3d3Ro0cPuSYyMhIKhQJJSUlyTd++feHg4CDXREVFITU1FTdv3pRr7rxORU3FdczVS1VKSkqg0+lMPnRv0x8LhZ1Cwvbfs7H99yxrt0NERHRfahzEDAZDtR+93nxLC2RmZgIAfHx8TLb7+PjI+zIzM+Ht7W2y387ODp6eniY1VZ3jzmvcq+bO/ebopSqzZ8+Gm5ub/AkICLhnLQFtWrji+VuvPnrnxxSUlHM5CyIiarxqvbI+mde0adOg1Wrlz8WLF63dUoM3+c9t0aKZChduFOLzhPPWboeIiKjOahTENm7ciLKyshqfdMuWLSgqKqpzUwCg0WgAAFlZprefsrKy5H0ajQbZ2dkm+8vLy5GTk2NSU9U57rzGvWru3G+OXqqiUqmgVqtNPvTHmjna4/8e7QAA+GT7WVzgxH0iImqkahTEhg0bhtzc3Bqf9Omnn8bVq1fr3BQABAcHQ6PRYNu2bfI2nU6HpKQkREREAAAiIiKQm5uL5ORkuWb79u0wGAwIDw+XaxISEkyCZHx8PEJCQuDh4SHX3HmdipqK65irlwbPoAfSdgHHvzX+1VCD2351OcYMorv6409tm6Ok3IC3vj8Bcf9v6iIiIqp3djUpEkLgueeeg0qlqtFJ71zS4Y/k5+fj7Nmz8ve0tDQcOXIEnp6eCAwMxNSpU/Hee++hXbt2CA4OxvTp0+Hn54fo6GgAQMeOHTFo0CCMGzcOS5cuRVlZGSZNmoSnn34afn5+AIBnnnkGs2bNwtixYxEXF4cTJ05g4cKFWLBggXzdKVOmoF+/fpg/fz4GDx6M1atX4+DBg/ISF5IkmaWXBi1lI7A1DtBdub1N7QcMmgOEDjXfMWYiSRLej+6MqI8TsPvsdXx/5DKGdWtp0WsSERGZW41e+j1mzJhan3jevHkm645VZefOnRgwYECl7bGxsVixYgWEEHj77bexbNky5Obmonfv3liyZAnat28v1+bk5GDSpEn48ccfoVAo8MQTT2DRokVwdXWVa44dO4aJEyfiwIED8PLywuTJkxEXF2dyzXXr1uGtt97ChQsX0K5dO8ydOxePPvqovN9cvVTHKi/9TtkIrB0N4O7/FG69P3TEqsrBqi7HWMDiHWcx7+dUuDvb45eX+8K7maPFr0lERHS3uv5+1yiIUf2p9yBm0AMfP2A6qmVCMo5yTT0OKJR1P8ZCyvQGPP7vPUi5qsPAUB98NupBvoCeiIjqXV1/v/nUpK1L3/sHgQoABKC7bKy7n2MsxF6pwL/+FgZ7pYRfUrKw8egf9UVERNSwMIjZuvwaLop6Z11djrGgUD81Jv+5HQBgxg8ncTn3/p7YJSIiqi8MYrbO1af6mrvr6nKMhf2jfxuEtXSDtqgMU1cfRrneUG/XJiIiqisGMVsX1Ms4nwv3mlclAWp/Y939HGNh9koFFo3sBleVHQ5cuIlF289WfxAREZGVMYjZOoXSuNwEgMrB6tb3QR+aTrqvyzH1IKi5C94f9gAA4N/bz2Df+Rv1en0iIqLaqlMQ27ZtGx577DG0adMGbdq0wWOPPYZff/3V3L1RfQkdalxuQu1rul3td+9lKOpyTD14vKs//vZgSxgEMHX1EdwsKLVKH0RERDVR6+UrlixZgilTpuDJJ5+UV5Xft28fvv32WyxYsAATJ060SKO2wirriFUw6I1POuZnGed3BfWqflSrLsdYWGFpOR77ZDfOXytAZEdvfD66B5e0ICIii6q3dcRatmyJN998E5MmTTLZvnjxYnzwwQe4fPlybU5Hd7FqEGtCUq7oEL1kD0rLDXhrcEf8vU9ra7dERERNWL2tI5abm4tBgwZV2j5w4EBotdrano7IIkL91Jg+uCMA4IMtp5Bw+pqVOyIiIqqs1kFs6NCh2LBhQ6XtP/zwAx577DGzNEVkDs8+HIQRPYzzxSb97xDSrhdYuyUiIiITNXrp951CQ0Px/vvvY+fOnSZzxPbs2YNXX30VixYtkmtfeukl83VKVEuSJOHd6Adw7loBktNv4u8rD2DDxD9B7Whv7daIiIgA1GGOWHBwcM1OLEk4f/58nZqyZZwjZn7X8kow9N+7cVVbjAEhLfBF7ENQKjh5n4iIzIcv/W4iGMQs48RlLZ5cuhfFZQZM6Nsa0x7taO2WiIioCeFLv4n+wAP+bpj3ZBgA4LOE8/hv4gWr9kNERATUcI7YK6+8UuMTfvTRR3VuhsiShoT54fy1Aiz49TRmbDwJDxcHPNbFz9ptERGRDatREDt8+LDJ90OHDqG8vBwhISEAgNOnT0OpVOLBBx80f4dEZvTSI21xPb8E/92XjpfXHIGHswP+1NbL2m0REZGNqlEQ27Fjh/z3H330EZo1a4aVK1fCw8MDAHDz5k2MGTMGffr0sUyXRGYiSRJmDu2EGwUl2HI8E+NXHcSaCRF4wN/N2q0REZENqvVkfX9/f/zyyy/o1KmTyfYTJ05g4MCBuHLlilkbtDWcrF8/Ssr1eO7LA0g8fwNerg5Y90IvBHu5WLstIiJqpOptsr5Op8O1a5VXKb927Rry8vJqezoiq1DZKbFs9IMI9VXjen4pnvl8Hy5wwVciIqpntQ5iw4YNw5gxY7B+/XpcunQJly5dwnfffYexY8di+PDhluiRzM2gB9J2Ace/Nf7VoLd2R1bRzNEeK5/vibberriqLcZIhjEiIqpntb41WVhYiNdeew1ffvklysrKAAB2dnYYO3Ys5s2bBxcX3t65Hxa/NZmyEdgaB+juuIWs9gMGzQFCh5r/eo3AtbwSjPx8H85m50OjdsTq8Q+jFW9TEhFRLdT7gq4FBQU4d+4cAKBNmzYMYGZi0SCWshFYOxrA3f/Kb60yP2IVwxjDGBER1UG9L+jq4uKCLl26oEuXLgxhjYFBbxwJqxTCcHvb1jdt9jZli2YqfDPuYbTzdkWmrhhPLUvEmSzOeSQiIsviyvq2In2v6e3ISgSgu2yss1Etmqnwv3EPo72PK7J0JXhyaSKS029auy0iImrCGMRsRX6WeeuaqBbNVFgzPgLdAt2hLSpDzBf7sP132/4zISIiy2EQsxWuPuata8I8XBzw9d/D0T+kBYrLDBi3KhnfJV+ydltERNQEMYjZiqBexqcjKybmVyIBan9jHcHZwQ6fj+6B4d38oTcIvLruKJbsPIs6PttCRERUJQYxW6FQGpeoAFA5jN36PuhDYx0BAOyVCvzrb2EY37c1AGDu1lS8uu4oSspt84EGIiIyPwYxWxI61LhEhdrXdLvaz7JLVzTiBWQVCgn/92hHvPN4JygVEtYfuoxnPk/C9fwSa7dGRERNQJ3XESPLqJd3TRr0xqcj87OMc8KCelluJKwJLSC768w1TPz6EHTF5fB3d8IXsT3Q0ZfvAyUiIiss6EqW0aRe+t0EF5A9dy0ff195EGnXC+DsoMScJ7pgSJiftdsiIiIrq/cFXYn+UBNdQLZNC1dseLEX/tS2OQpL9Zj8zWHM3HgSpeUGa7dGRESNEIMYWUYTXkDW3dkBK8f0xIv92wAAVuy9gKeWJeJKbpGVOyMiosaGQYwso4kvIGunVOCNQR3wxegeUDva4XBGLh77ZDd+O33N2q0REVEjwiBGlmEjC8hGhvpg0+Q+eMBfjZyCUsR+uR/v/JiC4rLGdcuViIisg0GMLMOGFpANbO6Mb1/ohdiIIADAl3vSEL14D1Iz+dJwIiL6YwxiZBk2toCso70Ssx5/AMufewherg74PTMPQ/69Gyv2pMFg4IPJRERUNQYxshxrLSBrRQM6eOOnKX3RP6QFSssNmPljCmK+SELGjUJrt0ZERA0Q1xFrYJrUOmIV6nMB2QZCCIFViemY/dMpFJcZ4GSvRNygEIyOaAWF4l63a4mIqLHigq5NRJMMYjYs/UYB3vj2GJLScgAAPVt5Ys6TXRDs5WLlzoiIyJy4oCtRAxTU3AXfjHsY7z7eCc4OSuy/kIOojxOw8NczfHk4ERExiBFZmkIhYVREK/w8tS/6tPNCabkBC349jb9+vAt7zl63dntERGRFDGJE9STA0xmrnu+JT0Z2Q4tmKpy/XoCYL5IwZfVhZGqLrd0eERFZAYMYUT2SJAlDwvyw7dV+eK5XK0gS8MORKxjwr51Y+OsZFJXydiURkS3hZP0GhpP1bcvxS1rM/PEkktNvAgB83RzxxqAQPB7mz6criYgaET412UQwiNkeIQQ2H7+K2Vt+x+VbLw4Pa+mGGUNC8WCQp5W7IyKimmAQayIYxGxXcZke/9mdhiU7zqLg1i3KwZ198crA9mjTwtXK3RER0R9hEGsiGMQoO68YH/1yGmsOXoQQgEIChndviSmPtEOAp7O12yMioiowiDURDGJU4dRVHeb/chq/nsoCANgrJTz1UAAmDWgHjZujlbsjIqI7MYg1EQxidLcjF3Mx/5dU7DpjXHPMwU6BUQ8H4R/928DLVWXl7oiICGiiK+vr9XpMnz4dwcHBcHJyQps2bfDuu+/izuwohMCMGTPg6+sLJycnREZG4syZMybnycnJQUxMDNRqNdzd3TF27Fjk5+eb1Bw7dgx9+vSBo6MjAgICMHfu3Er9rFu3Dh06dICjoyM6d+6MLVu2mOyvSS9EtdU1wB3/HRuONeMfRs9WnigtN+A/u9PQe852vP3DCVy6yReKExE1Vg06iM2ZMweffvop/v3vf+PUqVOYM2cO5s6di08++USumTt3LhYtWoSlS5ciKSkJLi4uiIqKQnHx7QUyY2JicPLkScTHx2PTpk1ISEjA+PHj5f06nQ4DBw5EUFAQkpOTMW/ePMycORPLli2Ta/bu3YuRI0di7NixOHz4MKKjoxEdHY0TJ07Uqheiugpv3RxrJjyMVc/3RFiAO4rLDFiZmI7+83bilbVHcCYrz9otEhFRbYkGbPDgweL555832TZ8+HARExMjhBDCYDAIjUYj5s2bJ+/Pzc0VKpVKfPPNN0IIIVJSUgQAceDAAbnmp59+EpIkicuXLwshhFiyZInw8PAQJSUlck1cXJwICQmRv48YMUIMHjzYpJfw8HAxYcKEGvdSE1qtVgAQWq22xseQ7TEYDGLPmWsi5vN9Iihuk/wZt/KAOJxx09rtERHZnLr+fjfoEbFevXph27ZtOH36NADg6NGj2L17N/76178CANLS0pCZmYnIyEj5GDc3N4SHhyMxMREAkJiYCHd3d/To0UOuiYyMhEKhQFJSklzTt29fODg4yDVRUVFITU3FzZs35Zo7r1NRU3GdmvRSlZKSEuh0OpMPUXUkSUKvtl746u/h+GHinzCokwaSBPySkoXoxXsw4rNEbD1xFXoDp4ASETVkdtZu4I+8+eab0Ol06NChA5RKJfR6Pd5//33ExMQAADIzMwEAPj4+Jsf5+PjI+zIzM+Ht7W2y387ODp6eniY1wcHBlc5Rsc/DwwOZmZnVXqe6Xqoye/ZszJo1q5o/CaJ7Cwtwx9JRD+Jsdj4+++0cNhy+jP1pOdiflgN/dyfE9grCUz0C4eZsb+1WiYjoLg16RGzt2rX4+uuv8b///Q+HDh3CypUr8a9//QsrV660dmtmM23aNGi1Wvlz8eJFa7dEjVRbb1fM+1sYdsf9GZMGtIWniwMu5xbhgy2/4+HZ2/DW98dxNju/+hMREVG9adAjYq+//jrefPNNPP300wCAzp07Iz09HbNnz0ZsbCw0Gg0AICsrC76+vvJxWVlZ6Nq1KwBAo9EgOzvb5Lzl5eXIycmRj9doNMjKyjKpqfheXc2d+6vrpSoqlQoqFZcgIPPRuDnitagQTPpzW2w8cgVf7knD75l5+GpfBr7al4FebZrjmfBADAzVwMGuQf9/MSKiJq9B/69wYWEhFArTFpVKJQwGAwAgODgYGo0G27Ztk/frdDokJSUhIiICABAREYHc3FwkJyfLNdu3b4fBYEB4eLhck5CQgLKyMrkmPj4eISEh8PDwkGvuvE5FTcV1atILUX1ytFdixEMB+GlKH/xvXDj+EuoDSQL2nruBSf87jF4fbsOHP/2O9BsF1m6ViMh2WejhAbOIjY0V/v7+YtOmTSItLU2sX79eeHl5iTfeeEOu+fDDD4W7u7v44YcfxLFjx8Tjjz8ugoODRVFRkVwzaNAg0a1bN5GUlCR2794t2rVrJ0aOHCnvz83NFT4+PmLUqFHixIkTYvXq1cLZ2Vl89tlncs2ePXuEnZ2d+Ne//iVOnTol3n77bWFvby+OHz9eq16qw6cmyZIu5hSI+T//Lnq+H2/ytGXM5/vEpqNXRHFZubVbJADk8rYAACAASURBVCJqlOr6+92gg5hOpxNTpkwRgYGBwtHRUbRu3Vr885//NFlmwmAwiOnTpwsfHx+hUqnEI488IlJTU03Oc+PGDTFy5Ejh6uoq1Gq1GDNmjMjLyzOpOXr0qOjdu7dQqVTC399ffPjhh5X6Wbt2rWjfvr1wcHAQnTp1Eps3bzbZX5NeqsMgRvWhrFwvtp64KmK/TBKt3rwdyMJm/Sze2nBcHMm4KQwGg7XbJCJqNOr6+81XHDUwfMUR1beLOYVYc+Aivk2+hEzd7cWH23q74onuLTGsmz/fbUlEVA2+a7KJYBC7xaAH0vcC+VmAqw8Q1AtQKK3dVZOmNwjsPXcd3yZfws8nM1FcZpyLqZCAP7X1wpAwP0R10sDNictgEBHdjUGsiWAQA5CyEdgaB+iu3N6m9gMGzQFCh1qvLxuSV1yGLcev4rvky9h/IUfebq+U0K99CwwJ88MjHX3gqmrQD14TEdUbBrEmwuaDWMpGYO1oAHf/ZykZ/zJiFcNYPUu/UYAfj17Bj0evIvWO91mq7BR4pKM3hnTxw4AO3nC054glEdkuBrEmwqaDmEEPfPyA6UiYCck4Mjb1OG9TWsnprDxsOnoFPx67irTrt5e9cHFQIjLUB1GdNOjXvgVcOFJGRDaGQayJsOkglrYLWPlY9XWxm4DgPpbvh+5JCIGTV3T48dgVbDp6FZdzi+R9DnYK9G7rhYGhPnikow9aNOOCxUTU9NX195v/t5Uajvys6mtqU0cWI0kSHvB3wwP+bnhzUAccysjFzycz8fPJTKTfKMT237Ox/fdsSNJxPBjogYGdfDAwVINWXi7Wbp2IqEHhiFgDwxExjog1ZkIInMnOxy8nM/FLShaOXdKa7G/v44oBId7oF9ICPYI8+YolImoyeGuyibDpICbPEbuKypP1Ac4Ra3yu/H979x4dVXm/C/xJJjOTmSQzkwvJJCGEIAQMBAEpEfFClzkGZNVLPS2l1FLrpWqsUtFaexHraoUftl221gt1nYpddUmhx6pViocKiEKMGrkkBCJIIAFygSQzk/tMZr7nj5lsssmETALJXPJ81tork72/s+fNmzDzsPd+323rxH8PNeD/HWzAJ8ea0OM593uN18fgmskpWDh1HBZOTeVcZUQU1hjEIsSYDmJAn1GTgDqMcdRkuLN3uPDhkTPYWdWID6vOoKndqdo+zZqAr09LxcLccZg9IZFHy4gorDCIRYgxH8SAAeYRywQWrWUIixAej6D8lB07q85gR1Uj9p+0oe87kVGnQUFOEhZMTsE1U1IwNS0BUVFRwWswEdEgGMQiBIOYD2fWH1Oa2rrx0ZGz2FHViI+OnEXzeUfLUuL1WDA5GQsmp2DB5BRkWgxBaikRkX8MYhGCQYzGOo9HcLi+FbuPnsXHR8/i0+pmdLrcqpqclDgU5CShYFIS5uUkM5gRUdAxiEUIBjEite4eN/bW2LDHF8z2n7TD7VG/bWVaDCiYlOQNZznJyE428lQmEY0qBrEIwSBGdGGOLhc+q27Gp9XNKK1uRvmp/sEsNUGPeTm+YDYpGZPHxSM6msGMiEYOg1iEYBAjGpr27h58UdPiDWbHmrGv1gan26OqMcXGYPaERMyZkIg52RbMyrIgIVYbpBYTUSRiEIsQDGJEF6fL5ca+Whs+9R01KzvR0u8as6goIDc1AXOyLUpAm5QSx6NmRDRsDGIRgkGM6NJyuT04XNeKL2palKW2ubNfndmgxewJFszOSsTM8WbkjzcjJZ73ySSiwDCIRQgGMaKRd6a1Wwlle0/YcOCUDV0uT7+6TIsB+ZlmzMwyY2amBfmZZpiNPKVJRP0xiEUIBjGi0edye3CozoEvTrTgwEk79p+04djZdvh7d5yYbET+eAtmZnqPmuVlmGDi9WZEYx6DWIRgECMKDa1dLhw87cCBkzYcOGnHgZN21DR3+K3NSjIgL92EvHRvMMvLMCHDHMspNIjGEAaxCMEgRhS6bB1OHDhpR/kpO/bX2lBxyo7T9i6/tWaD1hvOMkzK18mp8dBqeA9NokjEIBYhGMSIwoutw4nKOgcqTzuUr0cb29Dj6f/WqtNEY0paPKZZTZhqjUduWgKmWhNgNfHoGVG4YxCLEAxiROGvu8eNIw1tqoB26LQDrd09fusTYmMwNS0BudYE5KbGI9eagKlpCUjmqE2isMEgFiEYxIgik4jgZEsnDp524MuGVlQ1tOLL+lYcO9ve784AvVLidchNS1CWyanxmJwaj6Q43Si3nogGwyAWIRjEiMaW7h43qs+2o6q+1RvQ6ttwpLEVNc0dfkdtAkCiUYvLxsV7l9Q45fH4RANieA0aUVAwiEUIBjEiAoAOZw+ONradC2gNbTh2pg2nbJ0DBjSdJhoTU4z9QtqkcfGI18eM7g9ANMYM9/Ob/zKJiEKQUReDmeMtmDneolrf6fQeQfvqTJtvacdXjW04drYNXS4Pvmxow5cNbf32l2bSY2JynHdJicPEZCMmpsQhO9kIo44fBUTBwiNiIYZHxIhoODwewWl7pxLM+ga1M63dF3xuaoJeFc56A1t2shFxPJJGFBCemowQDGJB5HEDJ/YAbQ1AfBqQfTUQrQl2q4gumr3ThWNn2nCiqQPHm9px/Gw7jvse2zpcF3zuuAQ9cnyhLCvJiKwkA7ISvY/Hxet5o3QiHwaxCMEgFiSV7wBbHwccp8+tM2UAi/4HyLs5eO0iGmG2DieON3XgRFM7qs+2q8JayyAhTR8TjfGJBm9ASzRigi+ojfcFNbOBt36isYNBLEIwiAVB5TvApu8DOP+fgu9/+t/+G8MYjUn2Dpc3lDV5A1ptcwdqWzpQ29yJOnsnBph1Q2E2aFVH0LISDRifZMR4iwEZFgNPe1JEYRCLEAxio8zjBp6boT4SphLlPTK2spynKYn6cLk9OG3rRG1zpy+cdaC2pRM1zR042dyBpnbnoPuwGLXIMHtDWaYl1vs1sfd7A099UljhqEmi4Tix5wIhDAAEcJzy1uVcO2rNIgp1Wk00spPjkJ0c53d7e3cPTrZ0KkfRapq9R9JOtnTgtK0Tjq4e2DpcsHW4UFnnGOA1omA1xyLTci6cZVjOBTer2cBpOSjs8S+Yxra2hktbR0QAgDh9DKZavffS9Ke1y4XTti6ctnXilK0Tp32L93EX6h1dcLnFe8StuXPA10nQxyDNHIt0cyzSTP6/JsXpeC9PClkMYjS2xadd2joiCkhCrBZTrdoBg1qP24PG1m4lnJ0La77w1tKJ1u4e79LYhqON/edO66XTRCPNrIfV5D2KZjXpYTUbVGFtXIIeWt6VgIKAQYzGtuyrvdeAOerQ/2J9QLlGLPvq0W4Z0ZgWo4lWTkPOHaCmvbsH9Y4u1Nt9i+9xnb0LDQ7v16b2bjjdnj5H1lr87isqCkiO0yM1QY9Uk+9rQqzyeFxCrO+rHrFaXi9Klw6DGI1t0RrvFBWbvg/vKMm+Ycx3KmPRWl6oTxSC4vQxyu2cBuLs8aCx9VwwOz+01Tu821xuwdm2bpxt60Zl3YVf12zQYlxCb1jTI9V0LqT1DW/x+hieEqVBcdRkiOGoySDxO49YpjeEceoKoojm8Qia2p1obO1CY2s3zji6lceNfR+3dsPZ4wl4vwatRgllKfF6JMfrkBKv9y063zrvY4a28MfpKyIEg1gQcWZ9IroAEYGjs6dPMOvyBTXf4ujCGd/jtu6eIe1bHxN9XljT+UJa39Dm/Zpo1EHDaT1CDoNYhGAQIyIKfx3OHiWknWn1nvJsauvGmTYnmnynQJvanTjb2o12p3tI+46OApLi1OEsOc77ONGoQ1KcFklxeiTFaZFo1MHC4DYqOI8YERFRiDDqYjAxJQYTU/zPs9ZXp9OtXJ/W1OZUQtqZ1nNhram9G2fbnGjpcMIjwNk2J862DT5pLuAdiGAxaJEYp0NyXG9Y0/X7vndJjNMhTqfhqdJRwiBGREQURAadxndDdeOgtT1uD5o7nDjb6vSFM294O9PWjZZ2J5rbXWjpcKK53bvYO10QAVo6XGjpcOHYmfaA2qSLiUaSsU9Yi9MhyXguzJmNOiQatbAYdLAYtbAYtbzObZgYxIiIiMJEjCbaOzIzITag+h63xxfCzoWz5nYnWtqdaGp3qtb3ruvu8cDZ4/GOLHV0Bdw2TXQULAYtzEbfKVHfY4vBF9qM2n4BzmzUImGMBzgGMSIioggVo4nGON/UGoHqcPb4gpkLTe3dvrDmQnN7t/LV1uGCvdN7iypbpxNdLg/cvtGn3vuMBnbkDVAHOIvBG+LMfcJaoi/AWQxamAxamH2LKTYGMREwCS+DGBERESmMuhgYdTEYnxj4c7pcbiWUee8h6vva6T0aZ+9wnbd9oAA3NPH6GG8o8wUzc5+gZvaFO29oU4e4RKM2ZEIcgxgRERFdlFitBlazBlZzYKdMe/UPcL4Q5zvaZu/0Hpnr3e7odMHR1aNMD9LW7X18yjbw/Uj9eeX7c/G/8kLj1nUMYkRERBQUww1wPW4PHF09sHe6VIvjvK+qbV0u2DtcaO3ugdmgHaGfaOgYxIiIiCisxGiilek2hsrtCa3pUxnEiMIFZ/4nIrpooTa5LYMYUTjwey/MDO8Ny3kvTCKisBUaQwaIaGCV7wCbvq8OYQDgqPOur3wnOO0iIqKLFvJB7NSpU/je976H5ORkGAwG5Ofn4/PPP1e2iwiefPJJpKenw2AwoLCwEEeOHFHto7m5GcuXL4fJZILFYsFdd92FtrY2Vc2BAwdw7bXXIjY2FllZWVi3bl2/tmzevBnTpk1DbGws8vPzsWXLFtX2QNpCNCQet/dIGPxd0+Bbt/Vn3joiIgo7IR3EWlpasGDBAmi1WvznP/9BZWUlfv/73yMx8dzkJuvWrcOf/vQnvPzyyygtLUVcXByKiorQ1XVuNuDly5fj4MGD2LZtG959913s2rUL9957r7Ld4XDgxhtvRHZ2NsrKyvDss8/iqaeewl/+8helZs+ePVi2bBnuuusu7N27F7feeituvfVWVFRUDKktRENyYk//I2EqAjhOeeuIiCjsRIlIaA0f6ONnP/sZdu/ejY8++sjvdhFBRkYGVq1ahUcffRQAYLfbkZaWhg0bNuA73/kODh06hLy8PHz22WeYO3cuAGDr1q246aabcPLkSWRkZOCll17CL37xC9TX10On0ymv/dZbb+Hw4cMAgKVLl6K9vR3vvvuu8vpXXXUVZs2ahZdffjmgtvjT3d2N7u5u5XuHw4GsrKwh372dIlT5P4H/e9fgdbf/HyD/f498e4iIyC+HwwGz2Tzkz++QPiL2zjvvYO7cufjWt76F1NRUzJ49G6+88oqyvbq6GvX19SgsLFTWmc1mFBQUoKSkBABQUlICi8WihDAAKCwsRHR0NEpLS5Wa6667TglhAFBUVISqqiq0tLQoNX1fp7em93UCaYs/a9asgdlsVpasrKwh9xNFsPgAJxwMtI6IiEJKSAexY8eO4aWXXsKUKVPw/vvv4/7778dDDz2E1157DQBQX18PAEhLU38IpaWlKdvq6+uRmpqq2h4TE4OkpCRVjb999H2NgWr6bh+sLf488cQTsNvtylJbW3uhLqGxJvtq7+hIDDTcOgowZXrriIgo7IT09BUejwdz587FM888AwCYPXs2Kioq8PLLL2PFihVBbt2lodfrodcHfjNWGmOiNd4pKjZ9H94w1vdKAl84W7SW84kREYWpkD4ilp6ejry8PNW6yy+/HDU1NQAAq9UKAGhoaFDVNDQ0KNusVisaGxtV23t6etDc3Kyq8bePvq8xUE3f7YO1hWhY8m4Gvv03wJSuXm/K8K7nPGJERGErpIPYggULUFVVpVr35ZdfIjs7GwCQk5MDq9WKDz74QNnucDhQWlqK+fPnAwDmz58Pm82GsrIypWb79u3weDwoKChQanbt2gWXy6XUbNu2DVOnTlVGaM6fP1/1Or01va8TSFuIhi3vZmBlBbDiXe+F+SveBVaWM4QREYU7CWGffvqpxMTEyG9/+1s5cuSIvP7662I0GuXvf/+7UrN27VqxWCzy9ttvy4EDB+SWW26RnJwc6ezsVGoWLVoks2fPltLSUvn4449lypQpsmzZMmW7zWaTtLQ0ueOOO6SiokI2btwoRqNR1q9fr9Ts3r1bYmJi5He/+50cOnRIVq9eLVqtVsrLy4fUlsHY7XYBIHa7fbjdRkRERKNsuJ/fIR3ERET+/e9/y4wZM0Sv18u0adPkL3/5i2q7x+ORX/3qV5KWliZ6vV5uuOEGqaqqUtU0NTXJsmXLJD4+Xkwmk9x5553S2tqqqtm/f79cc801otfrJTMzU9auXduvLZs2bZLc3FzR6XQyffp0ee+994bclsEwiBEREYWf4X5+h/Q8YmPRcOchISIiouCJyHnEiIiIiCIZgxgRERFRkDCIEREREQUJgxgRERFRkDCIEREREQVJSN/iiIjCkMcNnNgDtDV4b0aefTVvwURENAAGMSK6dCrfAbY+DjhOn1tnyvDeL5N3ASAi6oenJono0qh8x3tz8r4hDAAcdd71le8Ep11ERCGMQYyILp7H7T0SBn/zQ/vWbf2Zt46IiBQMYkR08U7s6X8kTEUAxylvHRERKRjEiOjitTVc2joiojGCF+sT0cWLT7u0dcHGkZ9ENEoYxIjo4mVf7R0d6aiD/+vEorzbs68e7ZYNHUd+EtEo4qlJIrp40RpvUAEARJ230ff9orWhf1SJIz+JaJQxiBHRpZF3M/DtvwGmdPV6U4Z3fagfTeLITyIKAp6aJKJLJ+9mYNqS8Ly+aigjP3OuHbVmEVFkYxAjoksrWhOeQYUjP4koCHhqkogIiLyRn0QUFhjEiIiAcyM/+w026BUFmDLDY+QnEYUNBjEiIiByRn4C3gEF1R8B5f/0fuUAA6KQxWvEiIh69Y789DuP2NrQH/kJcB40ojATJSL+xmpTkDgcDpjNZtjtdphMpmA3h2hsCteZ9XvnQes3BYfviF44TCNCFKaG+/nNI2JEROcLx5Gfg86DFuWdB23akvAIlURjBK8RIyKKBEOZB42IQgaPiBERRYJImwctXE8PEw0RgxgRUSSIpHnQOOCAxhCemiQiigSRMg8ab7xOYwyDGBFRJIiEedB443UagxjEiIgiRe88aKZ09XpTRnhMXcEBBzQG8RoxIqJIknezd4qKcLzQPdIGHAAcdECDYhAjIoo04TgPGhBZAw4ADjqggPDUJBERhYZIGXAAcNABBYxBjIiIQkMkDDgAOOiAhoRBjIiIQke4DzgAOOiAhoTXiBERUWgJ5wEHQGQNOuBggxHHIEZERKEnXAccAJEz6CDSBhuEaKhkECMiIrqUegcdOOrg/zqxKO/2UB500DvY4Pz29w42CJfTxL1COFTyGjEiIqJLKdwHHUTaYIMQH8HKIEZERHSphfOgg0gabBAGoZKnJomIiEZCuA46iKTBBkMJlUG6JpFBjIiIaKSE46CDSBlsAIRFqOSpSSIiIjonku5wEAahkkGMiIiIzgn3wQZ9hUGoZBAjIiIitXAebNBXGITKKBHxN5SAgsThcMBsNsNut8NkMgW7OURENJaF6CSoQ+Z3HrFMbwi7RKFyuJ/fvFifiIiI/AvHwQb+hPAIVgYxIiIiinwhGip5jRgRERFRkDCIEREREQUJgxgRERFRkIRVEFu7di2ioqKwcuVKZV1XVxeKi4uRnJyM+Ph43H777WhoUM+QW1NTgyVLlsBoNCI1NRWPPfYYenp6VDU7d+7EnDlzoNfrMXnyZGzYsKHf67/wwguYOHEiYmNjUVBQgE8//VS1PZC2EBEREfUKmyD22WefYf369Zg5c6Zq/U9+8hP8+9//xubNm/Hhhx/i9OnT+OY3v6lsd7vdWLJkCZxOJ/bs2YPXXnsNGzZswJNPPqnUVFdXY8mSJfj617+Offv2YeXKlbj77rvx/vvvKzX/+Mc/8Mgjj2D16tX44osvcMUVV6CoqAiNjY0Bt4WIiIhIRcJAa2urTJkyRbZt2ybXX3+9PPzwwyIiYrPZRKvVyubNm5XaQ4cOCQApKSkREZEtW7ZIdHS01NfXKzUvvfSSmEwm6e7uFhGRn/70pzJ9+nTVay5dulSKioqU7+fNmyfFxcXK9263WzIyMmTNmjUBt8Wfrq4usdvtylJbWysAxG63D7mfiIiIKDjsdvuwPr/D4ohYcXExlixZgsLCQtX6srIyuFwu1fpp06ZhwoQJKCkpAQCUlJQgPz8faWnn7iNVVFQEh8OBgwcPKjXn77uoqEjZh9PpRFlZmaomOjoahYWFSk0gbfFnzZo1MJvNypKVlTWkviEiIqLwFfJBbOPGjfjiiy+wZs2aftvq6+uh0+lgsVhU69PS0lBfX6/U9A1hvdt7t12oxuFwoLOzE2fPnoXb7fZb03cfg7XFnyeeeAJ2u11ZamtrB6wlIiKiyBLSE7rW1tbi4YcfxrZt2xAbGxvs5owIvV4PvV4f7GYQERFREIR0ECsrK0NjYyPmzJmjrHO73di1axf+/Oc/4/3334fT6YTNZlMdiWpoaIDVagUAWK3WfqMbe0cy9q05f3RjQ0MDTCYTDAYDNBoNNBqN35q++xisLYEQ360/HQ5HwM8hIiKi4Or93Jah3sJ7RK5Yu0QcDoeUl5erlrlz58r3vvc9KS8vVy6Q/+c//6k85/Dhw34v1m9oaFBq1q9fLyaTSbq6ukTEe7H+jBkzVK+9bNmyfhfrP/jgg8r3brdbMjMz+12sf6G2BKL3Yn0uXLhw4cKFS/gttbW1AX/mi4hEiQw1ugXXwoULMWvWLDz33HMAgPvvvx9btmzBhg0bYDKZ8OMf/xgAsGfPHgDeI2izZs1CRkYG1q1bh/r6etxxxx24++678cwzzwDwTl8xY8YMFBcX44c//CG2b9+Ohx56CO+99x6KiooAeKevWLFiBdavX4958+bhueeew6ZNm3D48GHl2rHB2hIIj8eD06dPIyEhAVFRUZem0+BN6llZWaitrR3SXeFpaNjPI499PPLYx6OD/TzyRrOPRQStra3IyMhAdPQQLsEfUmwLAX2nrxAR6ezslAceeEASExPFaDTKbbfdJnV1darnHD9+XBYvXiwGg0FSUlJk1apV4nK5VDU7duyQWbNmiU6nk0mTJsmrr77a77Wff/55mTBhguh0Opk3b5588sknqu2BtCVYhjusloaG/Tzy2Mcjj308OtjPIy8c+jjsjojR8DgcDpjNZtjtdv7PawSxn0ce+3jksY9HB/t55IVDH4f89BVEREREkUrz1FNPPRXsRtDo0Gg0WLhwIWJiQnqwbNhjP4889vHIYx+PDvbzyAv1PuapSSIiIqIg4alJIiIioiBhECMiIiIKEgYxIiIioiBhECMiIiIKEgaxMeKFF17AxIkTERsbi4KCgn733xyrnnrqKURFRamWadOmKdu7urpQXFyM5ORkxMfH4/bbb+93z9GamhosWbIERqMRqampeOyxx9DT06Oq2blzJ+bMmQO9Xo/Jkydjw4YN/doSKb+jXbt24Rvf+AYyMjIQFRWFt956S7VdRPDkk08iPT0dBoMBhYWFOHLkiKqmubkZy5cvh8lkgsViwV133YW2tjZVzYEDB3DttdciNjYWWVlZWLduXb+2bN68GdOmTUNsbCzy8/OxZcuWIbclVA3Wzz/4wQ/6/W0vWrRIVcN+HtiaNWvwta99DQkJCUhNTcWtt96KqqoqVU0ovT8E0pZQFEg/L1y4sN/f8n333aeqCet+DuJksjRKNm7cKDqdTv7617/KwYMH5Z577hGLxaK6/+ZYtXr1apk+fbrU1dUpy5kzZ5Tt9913n2RlZckHH3wgn3/+uVx11VVy9dVXK9t7enpkxowZUlhYKHv37pUtW7ZISkqKPPHEE0rNsWPHxGg0yiOPPCKVlZXy/PPPi0ajka1btyo1kfQ72rJli/ziF7+QN998UwDIv/71L9X2tWvXitlslrfeekv2798vN998s+Tk5EhnZ6dSs2jRIrniiivkk08+kY8++kgmT54sy5YtU7bb7XZJS0uT5cuXS0VFhbzxxhtiMBhk/fr1Ss3u3btFo9HIunXrpLKyUn75y1+KVquV8vLyIbUlVA3WzytWrJBFixap/rabm5tVNezngRUVFcmrr74qFRUVsm/fPrnppptkwoQJ0tbWptSE0vvDYG0JVYH08/XXXy/33HOP6m+570z54d7PDGJjwLx586S4uFj53u12S0ZGhnLD8rFs9erVcsUVV/jd1nsj982bNyvrDh06JED/m8rX19crNS+99JKYTCbp7u4WEe9N5adPn67a99KlS/vdVD4Sf0fnBwSPxyNWq1WeffZZZZ3NZhO9Xi9vvPGGiIhUVlYKAPnss8+Umv/85z8SFRUlp06dEhGRF198URITE5U+FhF5/PHHZerUqcr33/72t2XJkiWq9hQUFMiPfvSjgNsSLgYKYrfccsuAz2E/D01jY6MAkA8//FBEQuv9IZC2hIvz+1mk/60Nzxfu/cxTkxHO6XSirKwMhYWFyrro6GgUFhaipKQkiC0LHUeOHEFGRgYmTZqE5cuXo6amBgBQVlYGl8ul6rtp06ZhwoQJSt+VlJQgPz9fufE7ABQVFcHhcODgwYNKTd999Nb07mMs/Y6qq6tRX1+v+lnNZjMKCgpUfWqxWDB37lylprCwENHR0SgtLVVqrrvuOuh0OqWmqKgIVVVVaGlpUWou1O+BtCXc7dy5E6mpqZg6dSruv/9+NDU1KdvYz0Njt9sBAElJSQBC6/0hkLaEi/P7udfrr7+OlJQUzJgxA0888QQ6OjqUbeHez6E5zSxdMmfPnoXb7Vb9gQJAWloaDh8+HKRWhY6CggJs2LABU6dORV1dHX7961/j2muvRUVFBerr66HT6WCxWFTPSUtLQ319PQCgvr7eb9/2brtQjcPhQGdnJ1pah9qduQAAB69JREFUWsbM76i3T/z9rH37KzU1VbU9JiYGSUlJqpqcnJx+++jdlpiYOGC/993HYG0JZ4sWLcI3v/lN5OTk4KuvvsLPf/5zLF68GCUlJdBoNOznIfB4PFi5ciUWLFiAGTNmAEBIvT8E0pZw4K+fAeC73/0usrOzkZGRgQMHDuDxxx9HVVUV3nzzTQDh388MYjSmLV68WHk8c+ZMFBQUIDs7G5s2bYLBYAhiy4guzne+8x3lcX5+PmbOnInLLrsMO3fuxA033BDEloWf4uJiVFRU4OOPPw52UyLaQP187733Ko/z8/ORnp6OG264AV999RUuu+yy0W7mJcdTkxEuJSUFGo2m36iOhoYGWK3WILUqdFksFuTm5uLo0aOwWq1wOp2w2Wyqmr59Z7Va/fZt77YL1ZhMJhgMhjH1O+r9eS70s1qtVjQ2Nqq29/T0oLm5+ZL0e9/tg7UlkkyaNAkpKSk4evQoAPZzoB588EG8++672LFjB8aPH6+sD6X3h0DaEuoG6md/CgoKAED1txzO/cwgFuF0Oh2uvPJKfPDBB8o6j8eDDz74APPnzw9iy0JTW1sbvvrqK6Snp+PKK6+EVqtV9V1VVRVqamqUvps/fz7Ky8tVH2jbtm2DyWRCXl6eUtN3H701vfsYS7+jnJwcWK1W1c/qcDhQWlqq6lObzYaysjKlZvv27fB4PMob8Pz587Fr1y64XC6lZtu2bZg6dSoSExOVmgv1eyBtiSQnT55EU1MT0tPTAbCfByMiePDBB/Gvf/0L27dv73eKNpTeHwJpS6garJ/92bdvHwCo/pbDup+HfZk/hY2NGzeKXq+XDRs2SGVlpdx7771isVhUI0zGqlWrVsnOnTulurpadu/eLYWFhZKSkiKNjY0i4h2qPGHCBNm+fbt8/vnnMn/+fJk/f77y/N5h0zfeeKPs27dPtm7dKuPGjfM7bPqxxx6TQ4cOyQsvvOB32HSk/I5aW1tl7969snfvXgEgf/jDH2Tv3r1y4sQJEfFOZWCxWOTtt9+WAwcOyC233OJ3+orZs2dLaWmpfPzxxzJlyhTVtAo2m03S0tLkjjvukIqKCtm4caMYjcZ+0yrExMTI7373Ozl06JCsXr3a77QKg7UlVF2on1tbW+XRRx+VkpISqa6ulv/+978yZ84cmTJlinR1dSn7YD8P7P777xez2Sw7d+5UTZvQ0dGh1ITS+8NgbQlVg/Xz0aNH5emnn5bPP/9cqqur5e2335ZJkybJddddp+wj3PuZQWyMeP7552XChAmi0+lk3rx58sknnwS7SSFh6dKlkp6eLjqdTjIzM2Xp0qVy9OhRZXtnZ6c88MADkpiYKEajUW677Tapq6tT7eP48eOyePFiMRgMkpKSIqtWrRKXy6Wq2bFjh8yaNUt0Op1MmjRJXn311X5tiZTf0Y4dOwRAv2XFihUi4p3O4Fe/+pWkpaWJXq+XG264QaqqqlT7aGpqkmXLlkl8fLyYTCa58847pbW1VVWzf/9+ueaaa0Sv10tmZqasXbu2X1s2bdokubm5otPpZPr06fLee++ptgfSllB1oX7u6OiQG2+8UcaNGydarVays7Plnnvu6Rfs2c8D89e3AFT/dkPp/SGQtoSiwfq5pqZGrrvuOklKShK9Xi+TJ0+Wxx57TDWPmEh493OUryOIiIiIaJTxGjEiIiKiIGEQIyIiIgoSBjEiIiKiIGEQIyIiIgoSBjEiIiKiIGEQIyIiIgoSBjEiIiKiIGEQIyIiIgoSBjEiohE2ceJEREVFISoqqt8Ng/05fvy4Uj9r1qxRaCERBQuDGBHRMC1cuBArV64MqPbpp59GXV0dzGbzoLVZWVmoq6vDqlWrLraJRBTiYoLdACKisSAhIQFWqzWgWo1GA6vVivj4+BFuFREFG4+IERENww9+8AN8+OGH+OMf/6icRjx+/HjAzz9x4gS+8Y1vIDExEXFxcZg+fTq2bNkycg0mopDEI2JERMPwxz/+EV9++SVmzJiBp59+GgAwbty4gJ9fXFwMp9OJXbt2IS4uDpWVlTwCRjQGMYgREQ2D2WyGTqeD0WgM+JRjXzU1Nbj99tuRn58PAJg0adKlbiIRhQGemiQiCoKHHnoIv/nNb7BgwQKsXr0aBw4cCHaTiCgIGMSIiILg7rvvxrFjx3DHHXegvLwcc+fOxfPPPx/sZhHRKGMQIyIaJp1OB7fbPeznZ2Vl4b777sObb76JVatW4ZVXXrmErSOicMBrxIiIhmnixIkoLS3F8ePHER8fj6SkJERHB/b/25UrV2Lx4sXIzc1FS0sLduzYgcsvv3yEW0xEoYZHxIiIhunRRx+FRqNBXl4exo0bh5qamoCf63a7UVxcjMsvvxyLFi1Cbm4uXnzxxRFsLRGFIh4RIyIaptzcXJSUlAzrubwejIgAIEpEJNiNICKKZBMnTkRdXR20Wi1OnTo16G2OampqkJeXB6fTiby8POzbt2+UWkpEo41BjIhohJ04cQIulwuAd76wwa4j6+npUWbp1+v1yMrKGukmElGQMIgRERERBQkv1iciIiIKEgYxIiIioiBhECMiIiIKEgYxIiIioiBhECMiIiIKEgYxIiIioiBhECMiIiIKEgYxIiIioiD5/2/amWI2axkOAAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9G127dj2rvMVigcVikd6bzWbvfolAotE6W2tqKwG0dtJUA/oUZznyCSGcl17/WtEUZFoEmsMn6845TiZErUJKbDhSYyPQtSnMdG0RauKitOzGJSI6g+JdV+2VlZWFrKws6f3o0aPRv39/vPTSS1i8ePFZ5QsLC7Fo0SI5q+i/VCrgyoeBN25so4DDuZ4ny4smhMBxUwP2l9fgl7JqHKiocb4ur0FVXWOb22nUKnSNDUda50ikx0UirXME0uKcr1NiwhHCAb5ERO2iaNCJi4uDRqNBWVmZ2/KysjKPx+CEhoZi6NCh2L9/f6vr58+fj/z8fOm92WxGamrqhVc60PWcACQPBU7sAESL1gOVBkga7FxPHhNC4Ojpeuw9YcYv5TU4UF6D/U2hpq3ZqVUqICUmvCnIRDYFmQikdY5E19gIaEMYZoiIvEXRoKPVajF8+HAUFRVh8uTJAACHw4GioiLMnj3bo33Y7Xbs3LkT1157bavrdToddDqON5G01aoj7GzNOY8aiw0lRjP2nqjGPqMZ+05UY5+xGjWW1ieDDFGrkB4XiV7xUW6Pnl2iOOiXiEgmindd5efnIzc3FyNGjMCoUaOwdOlS1NbWSldhTZ8+HSkpKSgsLAQAPProo7j00kvRq1cvVFVV4emnn8bhw4fx//7f/1PyawSWM1t12JrjxtVKs/u4CXtPVGPvCTP2GatReqqu1fJajRo946PQN6FloIlG984RvJcMEZHCFA86U6dORUVFBQoKCmA0GjFkyBCsX79eGqBcWloKtbr5ZHH69GnMnDkTRqMRsbGxGD58OL799lsMGDBAqa8QeM5s1enArTmusTQ7j1Zh5zETdhw1YecxU5vjaBL0OvRL1KN/kh79k6LRL1GPHl0iGWiIiPyUSojz3X0juJjNZhgMBphMJuj1eqWroxwhgJXjgeM/OVt3Zn7RIYLOqVorth4+je1Hq6RQc6r27JvphWpU6JMQjQFJevRrEWo6RfKKNCIiJVzo+VvxFh1SiEoFTFgAfDrX+RyEIcfuEPi5rBpbDp/G1tLT+Km0Cgcra88qF6JWoW9iNAalGDCoqwGDUgzomxjNOwATEQUBBp2OrOd4YPZmpWvhNXVWG7YcPo3NB09ha+lpbD9ianWgcK/4KAxNjcHg1BgMbgo1HBxMRBScGHQoYNVb7dhy+DSKf63Ed7+ewvYjVbA53HtiI7UaDO0Wi2HdYjC0eyyGpcbyDsFERB0Igw4FjIZGZ7D57teTKD5wEtuPVqHR7h5sUmLCkZneCcPTYjGsWyz6JERDow6+bjkiIvIMgw75LSEEDlTU4sufK/DVzxX47teTZ833lGQIQ1aPzri0R2dk9eyMrrHhnAaBiIgkDDrkV2otNnyzvxJf/lyBL0sqcKyq3m19gl6HrKZQc2mPzujWKYLBhoiI2sSgE8hMR5sm6GxDZBfnJJ5+rry6AUV7y/Hf3UZsOnAS1hatNlqNGqPSO2Fsny4Y27cLesdHMdgQEZHHGHQClc0CvDweqC1vu0xUPDBnFxDif1Ng/FpRg//uKcN/dxvx05EqtLybU/fOERjfNx5j+3RBZo9OiNDy15SIiC4MzyCBSqN1ttbUVgJwtFJADehTnOX8xJFTdfjPjuP4z/YT2HvC7LYuIzUGVw9IwNUDEtCLrTZEROQlDDqBqq3JOSUOv5jWoaLago93HMe/tx/H1tIqaXmoRoWsnnG4ekACrhqQgAR9mIK1JCKiYMWgE8jOnJzTReFJOi02Oz7bXYZ3fzyCTfsr4bq1jUoFZPXojN9kJGPiwETERPhPaxMREQUnBp1A1larjkKTdP5cVo23Nx/B2p+Ouk2KOSQ1Br/JSMZ1g5MQz5YbIiKSEYNOoDuzVUfm1pw6qw0f7TiBtzeXunVNJRnCcPOIVNw0rCu6dY6QpS5ERERnYtAJdGe26sjUmnP0dB1eLz6MtzaXorrBOZ+URq3ChH7xuGVUN1zRpwvvSExERIpj0AkGrlad4z85n33UmiOEwNbS0/jHNwexfpdRGnvTrVMEfjfK2XrDrikiIvInDDrBQKUCJiwAPp3rfPZya44QAl/9Uoll//sFPxw6LS2/rFdn/OGydIzvGw81W2+IiMgPMegEi57jgdmbvbpLh0Pg871lWPbFfuw4agLgvFPx5KHJyLssHf2T9F79PCIiIm9j0PFXCk7vIITAxpIKPPVZiXRjv7BQNaZldscdV/TgPW+IiChgMOj4IwWnd/ip9DSe+HQfvj94yvkxuhBMz+qO2y9PR+co/5tKgoiI6FwYdPyRAtM7HKqsxROf7sP63UYAgDZEjbzRabhrXE/e2I+IiAIWg44/knF6h4ZGO/7+xX6s+PJXWO0OqFXATcO7Yk52HyTHhF/0/omIiJTEoOOvZJje4fM9ZVj4n904eroeADCmdxweuW4A+iREX/S+iYiI/AGDjr/y4fQO5eYGPPjBLny+twyA8y7GBdcNwMSBiZw1nIiIggqDjj/zwfQOH+84gYfW7URVXSNC1CrcPiYdf7qyNyJ1/FUgIqLgw7ObP/Pi9A6mukYU/HsXPtx2HABwSbIez04Zgr6J7KYiIqLgxaDj77wwvcO3ByqRv2Y7jOYGaNQqzBrXE7Ov7A1tiNoHFSYiIvIfDDr+7iKmdxBC4JWvD6Lw071wCCA9LhLPTsnA0G6xPqwwERGR/2DQCQQXML1DndWGue/vxH+2O7uqbhiWgscmD0K4VuOLGhIREfklBp0gdPhkLf74zy3YZ6xGiFqFgusH4LZLu/OKKiIi6nAYdILM5oOnMPP1H2Gqb0RclA5/nzYMo9I7KV0tIiIiRTDoBJFPd57AvWu2wWpzYEhqDFbcOhyJBk7ASUREHReDTpB4a3MpHvxgJ4QArh6QgOdvGYqwUI7HISKijo1BJwi8XnwIBR/uBgD8PrMbFv92IDRqjschIiJi0Alwr246iIX/2QMAmDkmHQ9e25+DjomIiJow6ASw97YclULOXeN64oGcvgw5RERELfDWuAHqs91GzH1/BwDg9svTGXKIiIhawaATgLaWnsY9b/0Eu0Pg5uFd8fAkdlcRERG1hkEnwByrqscdr2+B1eZAdv94FN4wiCGHiIioDQw6AaTWYsPtr/6AyhoL+iVG47nfDUWIhj9CIiKitvAsGSCEEHh43S7sM1YjLkqHf8wYiUgdx5ITERGdC4NOgHj3x6P44KdjUKuAv08bhpSYcKWrRERE5PcYdAJAibEaBf/eBQD489V9OXcVERGRhxh0/Fyj3YH8d7ahodGBK/p0wV1jeypdJSIiooDBoOPnXvryAHYfN8MQHopnbh4MNad2ICIi8phfBJ3ly5cjLS0NYWFhyMzMxObNmz3a7u2334ZKpcLkyZN9XENl/FxWjeeL9gMAFv5mAOKjORM5ERFReygedNasWYP8/HwsWLAAW7duRUZGBnJyclBeXn7O7Q4dOoT7778fY8aMkamm8nI4BOa+vwNWuwMT+sVj8pAUpatEREQUcBQPOs8++yxmzpyJvLw8DBgwACtWrEBERARWrVrV5jZ2ux3Tpk3DokWL0KNHDxlrK58Ptx/DT6VViNBq8Nj/8aaAREREF0LRoGO1WrFlyxZkZ2dLy9RqNbKzs1FcXNzmdo8++iji4+Nx++23y1FN2dVZbXjy0xIAwKzxvZBoYJcVERHRhVD0jnOVlZWw2+1ISEhwW56QkIB9+/a1us0333yDf/zjH9i2bZtHn2GxWGCxWKT3ZrP5wisskxVf/gqjuQFdY8Nx++XpSleHiIgoYCneddUe1dXVuO2227By5UrExcV5tE1hYSEMBoP0SE1N9XEtL065uQEvf3UAAPDgtf0RFqpRuEZERESBS9EWnbi4OGg0GpSVlbktLysrQ2Ji4lnlDxw4gEOHDuH666+XljkcDgBASEgISkpK0LOn+31m5s+fj/z8fOm92Wz267Cz8utf0dDowNBuMbhm4NnHgIiIiDynaNDRarUYPnw4ioqKpEvEHQ4HioqKMHv27LPK9+vXDzt37nRb9vDDD6O6uhrPPfdcqwFGp9NBp9P55gt42ckaC974rhQA8KcJvTkAmYiI6CIpPitkfn4+cnNzMWLECIwaNQpLly5FbW0t8vLyAADTp09HSkoKCgsLERYWhoEDB7ptHxMTAwBnLQ9E//jmIOob7RiUYsC4Pl2Urg4REVHAUzzoTJ06FRUVFSgoKIDRaMSQIUOwfv16aYByaWkp1OqAGkp0QUx1jXi9+DAAYPaVvdiaQ0RE5AUqIYRQuhJyMpvNMBgMMJlM0Ov1SldH8tKXB1D46T70S4zGJ38aw6keiIiIWrjQ83fwN5UEAIdD4K3NzrE5M0anMeQQERF5CYOOH/ju15M4dLIOUboQXJ+RrHR1iIiIgobiY3Q6HNNRoLbSbdFXX+3DJapKXNs3EZENZYCO81oRERF5A4OOnGwW4OXxQK37hKXzAMzTAfgZwPF4YM4uICQwLoknIiLyZ+y6kpNGCxhS0PZhVwP6FGc5IiIiumgMOnJSqYArHwbgaKOAw7mel5YTERF5BYOO3HpOAJKHAir3OawcUDuX95ygUMWIiIiCD4OO3FytOsLutljN1hwiIiKvY9BRwhmtOjahRm3nwWzNISIi8jIGHSWc0aoTonLANHouW3OIiIi8jEFHKT0nQCQPBQBsd/SAtk+2whUiIiIKPgw6SlGpUHPZQ/jFkYKnbFNhiOAl5URERN7GGwYqqDJhNK6yPo0oXQhCNcycRERE3sazq4Kq6qwAAEN4qMI1ISIiCk4MOgoy1TcCAGIiGHSIiIh8gUFHQQw6REREvsWgo6CqOmfQYdcVERGRbzDoKKg56PCKKyIiIl9g0FFQVb1zMDK7roiIiHyDQUdBpqYWnRh2XREREfkEg46COBiZiIjItxh0FFRVzzE6REREvsSgoyDXDQPZokNEROQbDDoKMtXz8nIiIiJfYtBRiBBCurycLTpERES+waCjkFqrHTaHAADEcIwOERGRTzDoKMQ1PkcbokZYKH8MREREvsAzrEKkS8vDQ6FSqRSuDRERUXBi0FGIieNziIiIfI5BRyFVvOKKiIjI5xh0FMIJPYmIiHyPQUchnNCTiIjI9xh0FMIJPYmIiHwvxJNCN9xwQ7t3vGLFCsTHx7d7u46CE3oSERH5nkdBZ926dZgyZQrCw8M92umbb76JmpoaBp1zkMboRHCMDhERka94FHQA4Pnnn/c4uLz33nsXXKGOwjVGh1ddERER+Y5HY3S++OILdOrUyeOdfvrpp0hJSbngSnUEVRyjQ0RE5HMeteiMHTu2XTu9/PLLL6gyHQlnLiciIvK9i7rqatKkSThx4oS36tKhmDkYmYiIyOcuKuh89dVXqK+v91ZdOoxGuwO1VjsAQB/GoENEROQrvI+OAqobbNLr6DCPx4MTERFRO11U0OnevTtCQ9ki0V6u8TlRuhCEaJg1iYiIfOWimhN27drlrXp0KK7xOXq25hAREfmUR80JO3bsgMPh8Hinu3fvhs1mO3/BDsrVoqPnFVdEREQ+5VHQGTp0KE6ePOnxTrOyslBaWnrBlQp25gYGHSIiIjl41HcihMAjjzyCiIgIj3ZqtVrbVYnly5fj6aefhtFoREZGBl544QWMGjWq1bJr167F448/jv3796OxsRG9e/fGn//8Z9x2223t+kwl8R46RERE8vAo6FxxxRUoKSnxeKdZWVkez4u1Zs0a5OfnY8WKFcjMzMTSpUuRk5ODkpKSVqec6NSpEx566CH069cPWq0WH330EfLy8hAfH4+cnByP66gkc72zW4+XlhMREfmWSgghlKxAZmYmRo4ciWXLlgEAHA4HUlNTcc8992DevHke7WPYsGGYNGkSFi9efN6yZrMZBoMBJpMJer3+oup+oZ5cvw8vbjyAP1yWjoLrByhSByIiokByoedvRa9ttlqt2LJlC7Kzs6VlarUa2dnZKC4uPu/2QggUFRWhpKQEV1xxRatlLBYLzGaz20NpzYORedUVERGRLykadCorK2G325GQkOC2PCEhAUajsc3tTCYToqKioNVqMWnSJLzwwgu46qqrWi1bWFgIg8EgPVJTU736HS6EmWN0iIiIZBGQd6uLjo7Gtm0cKpAUAAAgAElEQVTb8MMPP+Cxxx5Dfn4+Nm7c2GrZ+fPnw2QySY8jR47IW9lWSC06HKNDRETkU4r2ncTFxUGj0aCsrMxteVlZGRITE9vcTq1Wo1evXgCAIUOGYO/evSgsLMS4cePOKqvT6aDT6bxa74tlbpoCgi06REREvuXVFp32TvCp1WoxfPhwFBUVScscDgeKioqQlZXl8X4cDgcsFku7PltJZt4wkIiISBZeCToWiwVLlixBenp6u7fNz8/HypUr8dprr2Hv3r246667UFtbi7y8PADA9OnTMX/+fKl8YWEhNmzYgF9//RV79+7FkiVL8M9//hO33nqrN76KLMwcjExERCQLj8+0FosFCxcuxIYNG6DVavHAAw9g8uTJWL16NR566CFoNBrcd9997a7A1KlTUVFRgYKCAhiNRgwZMgTr16+XBiiXlpZCrW7OY7W1tbj77rtx9OhRhIeHo1+/fnjjjTcwderUdn+2bExHgdpKAICAQNeGn5GoEuhsjgMcOiCyC2BIUbiSREREwcfj++jMnTsXL730ErKzs/Htt9+ioqICeXl5+O677/Dggw/i5ptvhkaj8XV9L5rs99GxWYC/DQRqy9suExUPzNkFhPjXWCIiIiJ/caHnb49bdN599128/vrr+M1vfoNdu3Zh8ODBsNls2L59O1Qq1QVVukPQaJ2tNbWVAFqbGFUN6FOc5YiIiMirPB6jc/ToUQwfPhwAMHDgQOh0Otx3330MOeejUgFXPozWQw6cy6982FmOiIiIvMrjoGO326HVNrc6hISEICoqyieVCjo9JwDJQwHVGV17Ko1zec8JytSLiIgoyHncdSWEwIwZM6R70jQ0NODOO+9EZGSkW7m1a9d6t4bBwNWq88aN7suFna05REREPuRx0MnNzXV7H0iXc/uFplYdx/HtUMMBO9TQJGewNYeIiMiHPA46q1ev9mU9gl9Tq466qVVHw7E5REREPheQc10FrJ4TYIwaAAA4Et6PrTlEREQ+xqAjJ5UKG5L+iF8cKfim+yy25hAREfkYg47MtmuH4irr0zidOFrpqhAREQU9Bh2Zuea54szlREREvsegIzOTa0LPMAYdIiIiX2PQkZm5wQaALTpERERyYNCRmavrSs+gQ0RE5HMMOjLjGB0iIiL5MOjIyO4QqLY4u670YR7fq5GIiIguEIOOjKobGqXX7LoiIiLyPQYdGbmuuIrQahCq4aEnIiLyNZ5tZWSud3VbsTWHiIhIDgw6MjJxIDIREZGsGHRkZG5wXVrOgchERERyYNCRES8tJyIikheDjow4/QMREZG8GHRk1Nx1xaBDREQkBwYdGZk4/QMREZGsGHRk5Lq8nGN0iIiI5MGgI6PmMTq86oqIiEgODDoy4hgdIiIieTHoyIg3DCQiIpIXg46MOAUEERGRvBh0ZOTqujJEMOgQERHJgUFHJg2NdlhtDgAcjExERCQXBh2ZuKZ/UKuAKB2DDhERkRwYdGTS8maBKpVK4doQERF1DAw6MpHG5/CKKyIiItkw6MiEE3oSERHJj0FHJtKl5eEcn0NERCQXBh2Z8GaBRERE8mPQkYmZXVdERESyY9CRCQcjExERyY9BRyYtLy8nIiIieTDoyKR5MDKDDhERkVwYdGTSfHk5r7oiIiKSC4OOTDhGh4iISH4MOjLhGB0iIiL5+UXQWb58OdLS0hAWFobMzExs3ry5zbIrV67EmDFjEBsbi9jYWGRnZ5+zvL/g5eVERETyUzzorFmzBvn5+ViwYAG2bt2KjIwM5OTkoLy8vNXyGzduxC233IIvvvgCxcXFSE1NxdVXX41jx47JXHPPORwC1RbnYGR2XREREclHJYQQSlYgMzMTI0eOxLJlywAADocDqampuOeeezBv3rzzbm+32xEbG4tly5Zh+vTp5y1vNpthMBhgMpmg1+svuv6eMNU3ImPRfwEAJX+dCF2IRpbPJSIiChYXev5WtEXHarViy5YtyM7Olpap1WpkZ2ejuLjYo33U1dWhsbERnTp1anW9xWKB2Wx2e8jN1W0VFqpmyCEiIpKRokGnsrISdrsdCQkJbssTEhJgNBo92sfcuXORnJzsFpZaKiwshMFgkB6pqakXXe/24szlREREylB8jM7FeOKJJ/D222/jgw8+QFhYWKtl5s+fD5PJJD2OHDkicy15aTkREZFSFL17XVxcHDQaDcrKytyWl5WVITEx8ZzbPvPMM3jiiSfw+eefY/DgwW2W0+l00Ol0XqnvhTLz0nIiIiJFKNqio9VqMXz4cBQVFUnLHA4HioqKkJWV1eZ2Tz31FBYvXoz169djxIgRclT1orimf2CLDhERkbwUn48gPz8fubm5GDFiBEaNGoWlS5eitrYWeXl5AIDp06cjJSUFhYWFAIAnn3wSBQUFePPNN5GWliaN5YmKikJUVJRi3+NcOP0DERGRMhQ/806dOhUVFRUoKCiA0WjEkCFDsH79emmAcmlpKdTq5oanF198EVarFTfddJPbfhYsWICFCxfKWXWPcYwOERGRMhQPOgAwe/ZszJ49u9V1GzdudHt/6NAh31fIyzj9AxERkTIC+qqrQMHpH4iIiJTBoCMDV4sOu66IiIjkxaAjA3OD86orfbhf9BQSERF1GAw6MuB9dIiIiJTBoCMDTgFBRESkDAYdGfDyciIiImUw6PiYxWZHQ6MDALuuiIiI5Mag42Ou6R9UKiBax8HIREREcmLQ8THX+JxoXQjUapXCtSEiIupYGHR8zDU+h91WRERE8mPQ8THeLJCIiEg5DDo+xukfiIiIlMOg42OuuyKzRYeIiEh+DDo+1nxXZF5xRUREJDcGHR8zc4wOERGRYhh0fIzTPxARESmHQcfHpOkfIhh0iIiI5Mag42Ns0SEiIlIOg46PuaaA4GBkIiIi+THo+BhvGEhERKQcBh0fk6aAYNcVERGR7Bh0fMjhELy8nIiISEEMOj5Ua7XBIZyvOaknERGR/Bh0fMg1/YM2RI2wUI3CtSEiIup4GHR8yFTH8TlERERKYtDxIelmgby0nIiISBEMOj4k3SyQ43OIiIgUwaDjQ7ziioiISFkMOj7E6R+IiIiUxaDjQ66rrjj9AxERkTJ4BvY201GgthIAEHnyV1yiOo7e9kbguN25PrILYEhRsIJEREQdB4OON9kswMvjgdpyAMAfAfxRB2Bn0wMAouKBObuAEJ1ClSQiIuo42HXlTRptU2tNW4dVDehTnOWIiIjI5xh0vEmlAq58GICjjQIO53qVSs5aERERdVgMOt7WcwKQPBRQnTHlg0rjXN5zgjL1IiIi6oAYdLzN1aoj7O7LhZ2tOURERDJj0PGFplYdm3AeXsHWHCIiIkUw6PiCSgXbuIcQonKO1VGxNYeIiEgRDDo+Ykoag+2OHgAAwdYcIiIiRTDo+IipwYanbFNxQKRANWEBW3OIiIgUwKDjI+YGGzY5BmF6+DKg53ilq0NERNQhMej4iGvmcj1nLiciIlIMg46PNM9czlk2iIiIlMKg4yPmBmfQMbBFh4iISDGKB53ly5cjLS0NYWFhyMzMxObNm9ssu3v3btx4441IS0uDSqXC0qVLZaxp+5jYdUVERKQ4RYPOmjVrkJ+fjwULFmDr1q3IyMhATk4OysvLWy1fV1eHHj164IknnkBiYqLMtW0fc70NAFt0iIiIlKRo0Hn22Wcxc+ZM5OXlYcCAAVixYgUiIiKwatWqVsuPHDkSTz/9NH73u99Bp9PJXNv2aR6jw6BDRESkFMWCjtVqxZYtW5Cdnd1cGbUa2dnZKC4u9trnWCwWmM1mt4ccXGN09OEcjExERKQUxYJOZWUl7HY7EhIS3JYnJCTAaDR67XMKCwthMBikR2pqqtf2fS6uy8vZdUVERKQcxQcj+9r8+fNhMpmkx5EjR2T5XDO7roiIiBSnWL9KXFwcNBoNysrK3JaXlZV5daCxTqdTZDyPuaFpMHIEgw4REZFSFGvR0Wq1GD58OIqKiqRlDocDRUVFyMrKUqpaXsPByERERMpTdKRsfn4+cnNzMWLECIwaNQpLly5FbW0t8vLyAADTp09HSkoKCgsLATgHMO/Zs0d6fezYMWzbtg1RUVHo1auXYt/jTEIIjtEhIiLyA4oGnalTp6KiogIFBQUwGo0YMmQI1q9fLw1QLi0thVrd3Oh0/PhxDB06VHr/zDPP4JlnnsHYsWOxceNGuavfpjqrHTaHAMCrroiIiJSkEkIIpSshJ7PZDIPBAJPJBL1e75PPOGGqR1bh/xCqUeHnv14DlUrlk88hIiLqKC70/B30V10poeX4HIYcIiIi5TDo+ACnfyAiIvIPDDo+4GrRiWbQISIiUhSDjg803yyQA5GJiIiUxKDjAyZeWk5EROQXGHR8oHlCTwYdIiIiJTHo+AAHIxMREfkHBh0f4PQPRERE/oFBxwdcXVds0SEiIlIWg44PSC06nP6BiIhIUQw6PsAJPYmIiPwDmxx8wMwxOkREF8xut6OxsVHpapACtFqt22Te3sCg4wPmBudVV7y8nIjIc0IIGI1GVFVVKV0VUoharUZ6ejq0Wq3X9smg42U2uwM1Fl5eTkTUXq6QEx8fj4iICE6K3ME4HA4cP34cJ06cQLdu3bz282fQ8bLqptYcAIjmFBBERB6x2+1SyOncubPS1SGFdOnSBcePH4fNZkNoqHcaCzgY2ctcl5ZHajUI1fDwEhF5wjUmJyIiQuGakJJcXVZ2u91r++SZ2MuaLy1ntxURUXuxu6pj88XPn0HHyzj9AxERkf9g0PEyTv9AREQtbdy4ESqVKuCuJhs3bhzmzJnjtf3NmDEDkydP9tr+PMWg42WcuZyIqONQqVTnfCxcuFDpKp5XW0Fs7dq1WLx4sUK18h5eFuRlnP6BiKjjOHHihPR6zZo1KCgoQElJibQsKioKP/74oxJVg9Vqvaj70XTq1MmLtVEOW3S8jHdFJiLyDiEE6qw22R9CCI/rmJiYKD0MBgNUKpXbsqioKKnsli1bMGLECERERGD06NFugQgAPvzwQwwbNgxhYWHo0aMHFi1aBJut+ZYlpaWl+O1vf4uoqCjo9XpMmTIFZWVl0vqFCxdiyJAheOWVV5Ceno6wsDAAzvvTFBYWIj09HeHh4cjIyMB7770HADh06BDGjx8PAIiNjYVKpcKMGTMAnN11ZbFYMHfuXKSmpkKn06FXr174xz/+AcB5ldTtt98ufUbfvn3x3HPPeXwcfYnNDl5m4jxXREReUd9ox4CCz2T/3D2P5iBC6/3T40MPPYQlS5agS5cuuPPOO/GHP/wBmzZtAgB8/fXXmD59Op5//nmMGTMGBw4cwB133AEAWLBgARwOhxRyvvzyS9hsNsyaNQtTp07Fxo0bpc/Yv38/3n//faxduxYajQYAUFhYiDfeeAMrVqxA79698dVXX+HWW29Fly5dcPnll+P999/HjTfeiJKSEuj1eoSHh7da/+nTp6O4uBjPP/88MjIycPDgQVRWVgJwhqmuXbvi3XffRefOnfHtt9/ijjvuQFJSEqZMmeL1Y9keDDpexukfiIioNY899hjGjh0LAJg3bx4mTZqEhoYGhIWFYdGiRZg3bx5yc3MBAD169MDixYvxwAMPYMGCBSgqKsLOnTtx8OBBpKamAgBef/11XHLJJfjhhx8wcuRIAM7uqtdffx1dunQB4GyFefzxx/H5558jKytL2vc333yDl156CWPHjpW6qOLj4xETE9Nq3X/++We888472LBhA7Kzs6X9uISGhmLRokXS+/T0dBQXF+Odd95h0Ak2nLmciMg7wkM12PNojiKf6wuDBw+WXiclJQEAysvL0a1bN2zfvh2bNm3CY489JpWx2+1oaGhAXV0d9u7di9TUVCnkAMCAAQMQExODvXv3SkGne/fuUsgBnC08dXV1uOqqq9zqYrVaMXToUI/rvm3bNmg0GimotWb58uVYtWoVSktLUV9fD6vViiFDhnj8Gb7CoONlzZeX89ASEV0MlUrlky4kpbSc0sB1YzyHwwEAqKmpwaJFi3DDDTectZ1rrI0nIiMj3d7X1NQAAD7++GOkpKS4rdPpdB7vt63uLJe3334b999/P5YsWYKsrCxER0fj6aefxvfff+/xZ/hK8PwG+QnX5eVs0SEiIk8NGzYMJSUl6NWrV6vr+/fvjyNHjuDIkSNSq86ePXtQVVWFAQMGtLnfAQMGQKfTobS0tM3WGE+mXRg0aBAcDge+/PJLqeuqpU2bNmH06NG4++67pWUHDhxoc39yYtDxMjOngCAionYqKCjAddddh27duuGmm26CWq3G9u3bsWvXLvz1r39FdnY2Bg0ahGnTpmHp0qWw2Wy4++67MXbsWIwYMaLN/UZHR+P+++/HfffdB4fDgcsvvxwmkwmbNm2CXq9Hbm4uunfvDpVKhY8++gjXXnstwsPD3a4WA4C0tDTk5ubiD3/4gzQY+fDhwygvL8eUKVPQu3dvvP766/jss8+Qnp6Of/7zn/jhhx+Qnp7u60N3Xry83IuEEJwCgoiI2i0nJwcfffQR/vvf/2LkyJG49NJL8be//Q3du3cH4Ozq+vDDDxEbG4srrrgC2dnZ6NGjB9asWXPefS9evBiPPPIICgsL0b9/f0ycOBEff/yxFEJSUlKkwdAJCQmYPXt2q/t58cUXcdNNN+Huu+9Gv379MHPmTNTW1gIA/vjHP+KGG27A1KlTkZmZiZMnT7q17ihJJdpzw4AgYDabYTAYYDKZoNfrvbrveqsd/QvWAwB2LcpBlI4NZkREnmhoaMDBgwfd7v9CHc+5fg8u9PzNFh0vco3P0ahViNT6ZtQ+EREReY5Bx4taXnHli6nmiYiIqH0YdLyIA5GJiIj8C4OOF3H6ByIiIv/CoONFrjE6nNCTiIjIPzDoeBEvLSciIvIvDDpeJA1GDudl5URERP6AQceLOBiZiIjIvzDoeFHz5eUMOkRERP6AfSxexAk9iYgUZDoK1Fa2vT6yC2BIaXt9EJoxYwaqqqqwbt06pauiGAYdLzKx64qISBk2C/DyeKC2vO0yUfHAnF1AiM6rHz1jxgy89tprZy3PycnB+vXrvfpZ7fXcc8/BX2Z6UqlU+OCDDzB58mRZP5dBx4tcV13pw3hYiYhkpdE6W2tqKwE4WimgBvQpznI+MHHiRKxevdptmU7n3UDVHna7HSqVCgaDQbE6+AuO0fEi3jCQiEghKhVw5cNoPeTAufzKh53lfECn0yExMdHtERsbi40bN0Kr1eLrr7+Wyj711FOIj49HWVkZAGDcuHGYPXs2Zs+eDYPBgLi4ODzyyCNuLTEWiwX3338/UlJSEBkZiczMTGzcuFFa/+qrryImJgb//ve/MWDAAOh0OpSWlmLGjBluLSjjxo3DPffcgzlz5iA2NhYJCQlYuXIlamtrkZeXh+joaPTq1Quffvqp2/fbtWsXrrnmGkRFRSEhIQG33XYbKisr3fb7pz/9CQ888AA6deqExMRELFy4UFqflpYGAPi///s/qFQq6b0cGHS8SLphIIMOEZH8ek4AkocCqjMmVVZpnMt7TpC9SuPGjcOcOXNw2223wWQy4aeffsIjjzyCV155BQkJCVK51157DSEhIdi8eTOee+45PPvss3jllVek9bNnz0ZxcTHefvtt7NixAzfffDMmTpyIX375RSpTV1eHJ598Eq+88gp2796N+Pj4Vuv02muvIS4uDps3b8Y999yDu+66CzfffDNGjx6NrVu34uqrr8Ztt92Guro6AEBVVRWuvPJKDB06FD/++CPWr1+PsrIyTJky5az9RkZG4vvvv8dTTz2FRx99FBs2bAAA/PDDDwCA1atX48SJE9J7WQg/sGzZMtG9e3eh0+nEqFGjxPfff3/O8u+8847o27ev0Ol0YuDAgeLjjz/2+LNMJpMAIEwm08VW243d7hBp8z4S3ed+JCqqG7y6byKiYFdfXy/27Nkj6uvrL25Hv2wQYoH+7McvG7xT0Vbk5uYKjUYjIiMj3R6PPfaYEEIIi8UihgwZIqZMmSIGDBggZs6c6bb92LFjRf/+/YXD4ZCWzZ07V/Tv318IIcThw4eFRqMRx44dc9tuwoQJYv78+UIIIVavXi0AiG3btp1Vt9/+9rdun3X55ZdL7202m4iMjBS33XabtOzEiRMCgCguLhZCCLF48WJx9dVXu+33yJEjAoAoKSlpdb9CCDFy5Egxd+5c6T0A8cEHH7R5HIU49+/BhZ6/FR9MsmbNGuTn52PFihXIzMzE0qVLkZOTg5KSklbT6LfffotbbrkFhYWFuO666/Dmm29i8uTJ2Lp1KwYOHKjAN3CqbrDB1crIy8uJiBTiatU5sQMQdmdrTtJgn7fmjB8/Hi+++KLbsk6dOgEAtFot/vWvf2Hw4MHo3r07/va3v521/aWXXgpVi261rKwsLFmyBHa7HTt37oTdbkefPn3ctrFYLOjcubP0XqvVYvDgweeta8syGo0GnTt3xqBBg6Rlrpam8nLnwO7t27fjiy++QFRU1Fn7OnDggFSvMz87KSlJ2oeSFA86zz77LGbOnIm8vDwAwIoVK/Dxxx9j1apVmDdv3lnln3vuOUycOBF/+ctfAACLFy/Ghg0bsGzZMqxYsULWurfk6rYKD9VAG8IeQSIiRbjG6rxxo/O9sPt0bI5LZGQkevXq1eb6b7/9FgBw6tQpnDp1CpGRkR7vu6amBhqNBlu2bIFG494t1zJ8hIeHu4WltoSGuv9nXKVSuS1z7cPhcEiff/311+PJJ588a19JSUnn3K9rH0pSNOhYrVZs2bIF8+fPl5ap1WpkZ2ejuLi41W2Ki4uRn5/vtiwnJ6fNewRYLBZYLBbpvdls9kLNz8bpH4iI/ISrVef4T4qNzWnpwIEDuO+++7By5UqsWbMGubm5+Pzzz6FWN/+n+Pvvv3fb5rvvvkPv3r2h0WgwdOhQ2O12lJeXY8yYMXJXH8OGDcP777+PtLQ0hIRc+DkuNDQUdrvdizXzjKJND5WVlbDb7W4DsgBns5nRaGx1G6PR2K7yhYWFMBgM0iM1NdU7lT9DQ6Md0boQxIT75tJFIiLykEoFTFgAxPV1Pvu4NQdw/qfaaDS6PVznuFtvvRU5OTnIy8vD6tWrsWPHDixZssRt+9LSUuTn56OkpARvvfUWXnjhBdx7770AgD59+mDatGmYPn061q5di4MHD2Lz5s0oLCzExx9/7PPvNmvWLJw6dQq33HILfvjhBxw4cACfffYZ8vLy2hVc0tLSUFRUBKPRiNOnT/uwxu6Cvvlh/vz5bi1AZrPZJ2FnRFon7FyUA4fDP27MRETUofUcD8zeLNvHrV+/3q0bBwD69u2L3//+9zh8+DA++ugjAM6unpdffhm33HILrr76amRkZAAApk+fjvr6eowaNQoajQb33nsv7rjjDmlfq1evxl//+lf8+c9/xrFjxxAXF4dLL70U1113nc+/W3JyMjZt2oS5c+fi6quvhsViQffu3TFx4kS3VqnzWbJkCfLz87Fy5UqkpKTg0KFDvqt0C6qmkdCKsFqtiIiIwHvvved2nX9ubi6qqqrw4YcfnrVNt27dkJ+fjzlz5kjLFixYgHXr1mH79u3n/Uyz2QyDwQCTyQS9Xu+dL0JERBeloaEBBw8eRHp6OsLCwpSujqzGjRuHIUOGYOnSpUpXRXHn+j240PO3ol1XWq0Ww4cPR1FRkbTM4XCgqKgIWVlZrW6TlZXlVh4ANmzY0GZ5IiIi6rgU77rKz89Hbm4uRowYgVGjRmHp0qXSHRoBZ3NeSkoKCgsLAQD33nsvxo4diyVLlmDSpEl4++238eOPP+Lll19W8msQERGRH1I86EydOhUVFRUoKCiA0WjEkCFDsH79emnAcWlpqVsf4OjRo/Hmm2/i4YcfxoMPPojevXtj3bp1it5Dh4iI6EK1nMqBvE/RMTpK4BgdIiL/05HH6FCzoBujQ0RE1FIH+783ncEXP38GHSIiUpzrrrquiSSpY7JarQBw1h2gL4biY3SIiIg0Gg1iYmKkuZEiIiI8ms6AgofD4UBFRQUiIiIu6g7MZ2LQISIiv5CYmAgAfjERJClDrVajW7duXg25DDpEROQXVCoVkpKSEB8fj8bGRqWrQwrQarXtutuyJxh0iIjIr2g0Gq+O0aCOjYORiYiIKGgx6BAREVHQYtAhIiKioNXhxui4bkZkNpsVrgkRERF5ynXebu9NBTtc0KmurgYApKamKlwTIiIiaq/q6moYDAaPy3e4ua4cDgeOHz+O6Ohor9+Mymw2IzU1FUeOHOE8Wj7CY+x7PMby4HH2PR5j35PzGAshUF1djeTk5HZdgt7hWnTUajW6du3q08/Q6/X8R+VjPMa+x2MsDx5n3+Mx9j25jnF7WnJcOBiZiIiIghaDDhEREQUtzcKFCxcqXYlgotFoMG7cOK9OSEbueIx9j8dYHjzOvsdj7Hv+fow73GBkIiIi6jjYdUVERERBi0GHiIiIghaDDhEREQUtBh0iIiIKWgw6XrJ8+XKkpaUhLCwMmZmZ2Lx5s9JV8gsLFy6ESqVye/Tr109a39DQgFmzZqFz586IiorCjTfeiLKyMrd9lJaWYtKkSYiIiEB8fDz+8pe/wGazuZXZuHEjhg0bBp1Oh169euHVV189qy7B9DP66quvcP311yM5ORkqlQrr1q1zWy+EQEFBAZKSkhAeHo7s7Gz88ssvbmVOnTqFadOmQa/XIyYmBrfffjtqamrcyuzYsQNjxoxBWFgYUlNT8dRTT51Vl3fffRf9+vVDWFgYBg0ahE8++aTddfFH5zvGM2bMOOt3e+LEiW5leIzPrbCwECNHjkR0dDTi4+MxefJklJSUuJXxp78RntTF33hyjMeNG3fW7/Kdd97pViagj7Ggi/b2228LrVYrVq1aJXbv3i1mzpwpYmJiRFlZmdJVU9yCBQvEJZdcIk6cOG915C8AAAswSURBVCE9KioqpPV33nmnSE1NFUVFReLHH38Ul156qRg9erS03maziYEDB4rs7Gzx008/iU8++UTExcWJ+fPnS2V+/fVXERERIfLz88WePXvECy+8IDQajVi/fr1UJth+Rp988ol46KGHxNq1awUA8cEHH7itf+KJJ4TBYBDr1q0T27dvF7/5zW9Eenq6qK+vl8pMnDhRZGRkiO+++058/fXXolevXuKWW26R1ptMJpGQkCCmTZsmdu3aJd566y0RHh4uXnrpJanMpk2bhEajEU899ZTYs2ePePjhh0VoaKjYuXNnu+rij853jHNzc8XEiRPdfrdPnTrlVobH+NxycnLE6tWrxa5du8S2bdvEtddeK7p16yZqamqkMv70N+J8dfFHnhzjsWPHipkzZ7r9LptMJml9oB9jBh0vGDVqlJg1a5b03m63i+TkZFFYWKhgrfzDggULREZGRqvrqqqqRGhoqHj33XelZXv37hUARHFxsRDCebJRq9XCaDRKZV588UWh1+uFxWIRQgjxwAMPiEsuucRt31OnThU5OTnS+2D+GZ15EnY4HCIxMVE8/fTT0rKqqiqh0+nEW2+9JYQQYs+ePQKA+OGHH6Qyn376qVCpVOLYsWNCCCH+/ve/i9jYWOk4CyHE3LlzRd++faX3U6ZMEZMmTXKrT2ZmpvjjH//ocV0CQVtB57e//W2b2/AYt195ebkAIL788kshhH/9jfCkLoHgzGMshDPo3HvvvW1uE+jHmF1XF8lqtWLLli3Izs6WlqnVamRnZ6O4uFjBmvmPX375BcnJyejRowemTZuG0tJSAMCWLVvQ2Njoduz69euHbt26SceuuLgYgwYNQkJCglQmJycHZrMZu3fvlsq03IerjGsfHe1ndPDgQRiNRrfvazAYkJmZ6XZcY2JiMGLECKlMdnY21Go1vv/+e6nMFVdcAa1WK5XJyclBSUkJTp8+LZU517H3pC6BbOPGjYiPj0ffvn1x11134eTJk9I6HuP2M5lMAIBOnToB8K+/EZ7UJRCceYxd/vWvfyEuLg4DBw7E/PnzUVdXJ60L9GPsn7cxDCCVlZWw2+1uvwAAkJCQgH379ilUK/+RmZmJV199FX379sWJEyewaNEijBkzBrt27YLRaIRWq0VMTIzbNgkJCTAajQAAo9HY6rF1rTtXGbPZjPr6epw+fbpD/Yxcx6W179vymMXHx7utDwkJQadOndzKpKenn7UP17rY2Ng2j33LfZyvLoFq4sSJuOGGG5Ceno4DBw7gwQcfxDXXXIPi4mJoNBoe43ZyOByYM2cOLrvsMgwcOBAA/OpvhCd18XetHWMA+P3vf4/u3bsjOTkZO3bswNy5c1FSUoK1a9cCCPxjzKBDPnXNNddIrwcPHozMzEx0794d77zzDsLDwxWsGdHF+d3vfie9HjRoEAYPHoyePXti48aNmDBhgoI1C0yzZs3Crl278M033yhdlaDV1jG+4447pNeDBg1CUlISJkyYgAMHDqBnz55yV9Pr2HV1keLi4qDRaM4aFV5WVobExESFauW/YmJi0KdPH+zfvx+JiYmwWq2oqqpyK9Py2CUmJrZ6bF3rzlVGr9cjPDy8w/2MXN/pXN83MTER5eXlbuttNhtOnTrllWPfcv356hIsevTogbi4OOzfvx8Aj3F7zJ79/9u7v5Cm+jAO4F9f3RnN5Zw43LDZGrlwFlhGMQoJCsmLiOhCupAKKiojhOllCKOLLiIQqZsu6lK6KISKwNxMChsYWxqKYe0PxSCQpIWFS5/3ordDQ18dle54+n7Am+13Dl+fzeOzc36/swu4f/8+QqEQNmzYoD6upWNELlm07P9qvJjdu3cDQNZ7eS3XmI3Ob1IUBfX19ejv71cfm5+fR39/P3w+Xx6TadPnz5/x5s0bOBwO1NfXw2AwZNVuYmICyWRSrZ3P58Po6GjWP4y+vj6UlJTA6/WqY37ex48xP/bxt71GmzZtgt1uz/p9P336hHA4nFXX6elpvHjxQh0TDAYxPz+vHuR8Ph8GBweRyWTUMX19fdiyZQusVqs6Zqna55JFL969e4epqSk4HA4ArHEuRAQXLlzAvXv3EAwGF1zG09IxIpcsWrRcjRcTjUYBIOu9vKZr/MvTmEnV09MjRqNRbt++LWNjY3LmzBkpLS3NmqH+t/L7/TIwMCCxWEyePXsmBw4ckPLycvnw4YOIfF9KWFVVJcFgUIaHh8Xn84nP51O3/7GssbGxUaLRqDx69EhsNtuiyxo7OjpkfHxcrl+/vuiyRj29Rul0WiKRiEQiEQEg165dk0gkIolEQkS+LzcuLS2V3t5eGRkZkcOHDy+6vHz79u0SDofl6dOnUl1dnbX0eXp6WioqKqSlpUVevXolPT09YjKZFix9LioqkqtXr8r4+Lh0dnYuuvR5uSxatFSN0+m0tLe3y9DQkMRiMXn8+LHs2LFDqqur5evXr+o+WOOlnTt3TiwWiwwMDGQtbZ6ZmVHHaOkYsVwWLVquxpOTkxIIBGR4eFhisZj09vaK2+2WhoYGdR9rvcZsdP6Q7u5uqaqqEkVRZNeuXfL8+fN8R9KE5uZmcTgcoiiKVFZWSnNzs0xOTqrPf/nyRc6fPy9Wq1VMJpMcOXJEUqlU1j7i8bg0NTXJunXrpLy8XPx+v2QymawxoVBI6urqRFEUcbvdcuvWrQVZ9PQahUIhAbDg5/jx4yLyfcnxpUuXpKKiQoxGo+zfv18mJiay9jE1NSXHjh0Ts9ksJSUlcvLkSUmn01ljXr58KXv37hWj0SiVlZVy5cqVBVnu3LkjHo9HFEWR2tpaefDgQdbzuWTRoqVqPDMzI42NjWKz2cRgMMjGjRvl9OnTCxpn1nhpi9UXQNbfr5aOEblk0ZrlapxMJqWhoUHKysrEaDTK5s2bpaOjI+s+OiJru8YF/xWCiIiISHc4R4eIiIh0i40OERER6RYbHSIiItItNjpERESkW2x0iIiISLfY6BAREZFusdEhIiIi3WKjQ0RERLrFRoeI1jyXy4WCggIUFBQs+ELAxcTjcXV8XV3dKiQkonxho0NEmrVv3z60tbXlNDYQCCCVSsFisSw71ul0IpVKwe/3/25EItK4onwHICL6E9avXw+73Z7T2MLCQtjtdpjN5hVORUT5xjM6RKRJJ06cwJMnT9DV1aVeZorH4zlvn0gkcOjQIVitVhQXF6O2thYPHz5cucBEpEk8o0NEmtTV1YXXr19j69atCAQCAACbzZbz9q2trZidncXg4CCKi4sxNjbGMzhEfyE2OkSkSRaLBYqiwGQy5XxJ6mfJZBJHjx7Ftm3bAABut/tPRySiNYCXrohIly5evIjLly9jz5496OzsxMjISL4jEVEesNEhIl06deoU3r59i5aWFoyOjmLnzp3o7u7OdywiWmVsdIhIsxRFwdzc3C9v73Q6cfbsWdy9exd+vx83b978g+mIaC3gHB0i0iyXy4VwOIx4PA6z2YyysjL8809un8/a2trQ1NQEj8eDjx8/IhQKoaamZoUTE5HW8IwOEWlWe3s7CgsL4fV6YbPZkEwmc952bm4Ora2tqKmpwcGDB+HxeHDjxo0VTEtEWsQzOkSkWR6PB0NDQ7+0LefjEBEAFIiI5DsEEdHvcLlcSKVSMBgMeP/+/bJfA5FMJuH1ejE7Owuv14toNLpKSYlotbHRIaI1L5FIIJPJAPh+v5zl5vF8+/ZNvcuy0WiE0+lc6YhElCdsdIiIiEi3OBmZiIiIdIuNDhEREekWGx0iIiLSLTY6REREpFtsdIiIiEi32OgQERGRbrHRISIiIt1io0NERES69S/5BXrDzrPxRgAAAABJRU5ErkJggg==",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.5139638201941595"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "rel_perm_param [krw0, kro0, nw, no, swc, sor]\n",
    "\"\"\"\n",
    "function error_calc(rel_perm_param, exp_data, core_props, fluids, core_flood; w_p=1.0, w_R=1.0)\n",
    "    rel_perms = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "    wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "    dp_calc = Spline1D(wf_res.dp_time[:,1], wf_res.dp_time[:,2], k=1, bc=\"nearest\")\n",
    "    R_calc = Spline1D(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], k=1, bc=\"nearest\")\n",
    "    error_dp = abs.(dp_calc(exp_data.t_exp_dp) .- exp_data.dp_exp)\n",
    "#     println(error_dp)\n",
    "    error_R = abs.(R_calc(exp_data.t_exp_R) .- exp_data.R_exp)\n",
    "#     println(error_R)\n",
    "    error_dp_norm = w_p.*error_dp./exp_data.dp_exp\n",
    "    error_R_norm = w_R.*error_R./(exp_data.R_exp+eps())\n",
    "    return mean(error_R_norm)+mean(error_dp_norm)\n",
    "end\n",
    "\n",
    "function vis_error(rel_perm_param, exp_data, core_props, fluids, core_flood)\n",
    "    rel_perms = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "    wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "    figure()\n",
    "    plot(wf_res.dp_time[:,1], wf_res.dp_time[:,2],  exp_data.t_exp_dp, exp_data.dp_exp, \"o\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"dp [Pa]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    \n",
    "    figure()\n",
    "    plot(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], exp_data.t_exp_R, exp_data.R_exp, \"v\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"R [-]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    return wf_res\n",
    "end\n",
    "\n",
    "# test\n",
    "x_init = [0.109681, 0.201297, 3.96653, 3.0, 0.19, 0.262231]\n",
    "\n",
    "vis_error(x_init, exp_data1, core_props, fluids, core_flood)\n",
    "error_calc(x_init, exp_data1, core_props, fluids, core_flood)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function and gradients and weight factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.6157167349582657"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# weight factors:\n",
    "w_p = ones(length(exp_data1.dp_exp))\n",
    "ind_max = indmax(exp_data1.dp_exp)\n",
    "w_p[ind_max-1:ind_max+2] = 10\n",
    "w_p[end:end-5]=10\n",
    "w_p[1]=10\n",
    "w_R = ones(length(exp_data1.R_exp))\n",
    "# w_R[20:25] = 10\n",
    "w_R[end:end-5]=10\n",
    "\n",
    "\n",
    "function f(x)\n",
    "    f_val = 0.0\n",
    "    try\n",
    "        f_val = error_calc(x, exp_data1, core_props, fluids, core_flood, w_p = w_p, w_R = w_R)\n",
    "    catch\n",
    "        f_val = 100.0\n",
    "#         info(\"Objective function did not converge!\")\n",
    "    end\n",
    "    return f_val\n",
    "end\n",
    "\n",
    "    \n",
    "function g(x)\n",
    "    eps1 = 1e-4\n",
    "    f_val = f(x)\n",
    "    g_val = ones(length(x))\n",
    "    try\n",
    "        # g_val = Calculus.gradient(x -> error_calc(x, exp_data1, core_props, fluids, core_flood), x)\n",
    "        for j in eachindex(x)\n",
    "            x2 = copy(x)\n",
    "            x2[j]+=eps1\n",
    "            f_val2 = f(x2)\n",
    "            g_val[j] = (f_val2-f_val)/eps1\n",
    "        end\n",
    "    catch\n",
    "        g_val = ones(length(x))\n",
    "    end\n",
    "    return g_val\n",
    "end\n",
    "\n",
    "function obj_fun(param, grad)\n",
    "    if length(grad)>0\n",
    "      grad[:] = g(param)\n",
    "    end\n",
    "    \n",
    "    obj_fun_val = f(param)\n",
    "    if isnan(obj_fun_val) || isinf(obj_fun_val)\n",
    "        obj_fun_val = 100.0\n",
    "    end\n",
    "    return obj_fun_val\n",
    "end\n",
    "\n",
    "# test\n",
    "grad_x = zeros(6)\n",
    "obj_fun([1.0, 0.8, 3, 4, 0.2, 0.2], grad_x)\n",
    "\n",
    "f([1.0, 0.8, 2, 2, 0.1, 0.2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6-element Array{Float64,1}:\n",
       "  0.711856\n",
       "  0.495319\n",
       " -0.364036\n",
       " -0.192003\n",
       "  0.139017\n",
       "  1.96115 "
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grad_x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "## algorithms\n",
    "# L: Local, G:global\n",
    "# D: derivative-based, N: non-derivative (search-based)\n",
    "\n",
    "# :LD_MMA\n",
    "# :LN_COBYLA\n",
    "# :LD_LBFGS\n",
    "# :GN_DIRECT\n",
    "# :GN_DIRECT_L\n",
    "# GN_CRS2_LM\n",
    "# G_MLSL_LDS\n",
    "# GD_STOGO\n",
    "# GN_ISRES\n",
    "# GN_ESCH\n",
    "# LN_NEWUOA_BOUND\n",
    "# LN_BOBYQA\n",
    "# LN_PRAXIS\n",
    "# LN_NELDERMEAD\n",
    "# LN_SBPLX\n",
    "# LD_SLSQP\n",
    "# LD_TNEWTON_PRECOND_RESTART\n",
    "# LD_TNEWTON_RESTART\n",
    "# LD_TNEWTON_PRECOND\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.070978892578955, [0.227374, 0.268374, 3.75437, 3.82896, 0.241672, 0.160291], :FTOL_REACHED)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: imported binding for flag overwritten in module Main\n"
     ]
    }
   ],
   "source": [
    "x_init = [0.9, 0.8, 2.5, 2.5, 0.1, 0.1]\n",
    "x_lb = [0.1, 0.1, 1.5, 1.5, 0.05, 0.1]\n",
    "x_ub = [1.0, 1.0, 4.0, 4.0, core_flood.initial_water_saturation, 0.25]\n",
    "opt_alg=:GN_DIRECT_L\n",
    "opt1 = Opt(opt_alg, length(x_init)) # choose the algorithm\n",
    "lower_bounds!(opt1, x_lb)\n",
    "upper_bounds!(opt1, x_ub)\n",
    "ftol_rel!(opt1, 1e-15)\n",
    "ftol_abs!(opt1, 1e-15)\n",
    "\n",
    "min_objective!(opt1, obj_fun)\n",
    "(fObjOpt, paramOpt, flag) = optimize(opt1, x_init)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.042180959653757094"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# x_init = paramOpt\n",
    "x_init = [0.227374, 0.268374, 3.75437, 3.82896, 0.241672, 0.160291]\n",
    "wf_res = vis_error(x_init, exp_data1, core_props, fluids, core_flood)\n",
    "error_calc(x_init, exp_data1, core_props, fluids, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "JLD.save(\"/home/ali/Dropbox/presentations/20180905IEAEOR_DME/figures/exp1_fit.jld\", \"dp_pv\", wf_res.dp_pv, \n",
    "    \"R\", wf_res.recovery_pv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7fede10755d0>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rel_perm_param=[0.227374, 0.268374, 3.75437, 3.82896, 0.241672, 0.160291]\n",
    "rel_perms2 = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "FF.visualize(rel_perms2)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.1.0",
   "language": "julia",
   "name": "julia-1.1"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.1.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
